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#201 2009-04-05 01:45:55

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

A triangle has sides of lengths 3 cm, 4 cm, and 5 cm. What is the area of the circle inscribed in the triangle?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#202 2009-04-05 01:55:51

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,406

Re: Exercise

Each side of an equilateral triangle is 42 cm. What is the area of the circle inscribed in it?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#203 2009-04-05 02:16:31

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The perimters of a circular and square field are equal. What is the diameter of the circular field if the area of the square field is 484 m²?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#204 2009-04-05 02:33:11

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,406

Re: Exercise

What is the area of the largest circle that can be drawn inside a rectangle of sides 14 cm and 18 cm?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#205 2009-04-05 02:40:30

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The area of a circle is increased by 22 cm² when its radius is increased by 1 cm. What is the original radius of the circle?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#206 2009-04-05 02:57:33

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The area of a square field is 6050 m². What is the length of its diagonal?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#207 2009-04-05 05:14:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

What is the area of the largest triangle that can be inscribed in a semicircle of radius r cm?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#208 2009-04-05 05:23:09

Jai Ganesh
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Registered: 2005-06-28
Posts: 48,406

Re: Exercise

A circle is inscribed in a square. An equilateral triangle of side 4√3 units is inscribed in that circle. What is the length of the diagonal of the square?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#209 2009-04-05 05:35:39

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The area of a right-angled triangle is 20 cm² and one of the sides containing the right angle is 4 cm. What is the altitude on the hypotenuse in cm?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#210 2009-04-05 05:50:02

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

Thea rea of a rhombus is 2016 cm² and its side is 65 cm. What are the lengths of its diagonals?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#211 2009-04-05 16:26:56

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The areas of two smilar triangles are 12 cm² and 48 cm². If the height of the samller traingle is 2.1 cm, then what is the corresponding height of the bigger triangle?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#212 2009-04-05 16:37:37

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The difference between the radii of the smaller circle and the bigger circle is 7 cm and the difference between the ares of the two circles is 1078 cm². What is the radius of the smaller circle?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#213 2009-04-05 16:48:29

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

The sides of a triangle are in the ratio

.
If the perimeter of the triangle is 52 cm, what is the length of the smallest side?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#214 2009-04-05 16:54:57

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

If the height of a triangle is decreased by 40% and its base is increased by 40%, what would be the effect on its area?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#215 2009-04-05 17:11:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

A circle and rectangle have the same perimter. The sides of the rectangle are 18 cm and 26 cm. What is the area of the circle?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#216 2009-04-06 05:12:08

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

Find the value of a if


is divisible by (x-1).


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#217 2009-04-06 05:37:46

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

Find the value of a and b is


is a factor of
.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#218 2009-04-06 06:21:48

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

If (x-2) is a common factor of


and
,
find the values of a and b.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#219 2009-04-06 06:43:38

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

If (x-7) and (x-4) are factors of

,
find the values of p and q.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#220 2009-04-06 06:54:45

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

If (x-1), (x+2), and (x-2) are factors of

,
find a, b, and c.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#221 2009-04-06 07:27:52

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

Find the sum of the numbers

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#222 2009-04-06 07:44:20

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

Find the sum of the numbers

.


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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#223 2009-04-06 08:08:47

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

What is the sum of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#224 2009-04-06 08:30:17

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

What is the sum of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

Offline

#225 2009-04-06 08:41:41

Jai Ganesh
Administrator
Registered: 2005-06-28
Posts: 48,406

Re: Exercise

What is the value of

?


It appears to me that if one wants to make progress in mathematics, one should study the masters and not the pupils. - Niels Henrik Abel.

Nothing is better than reading and gaining more and more knowledge - Stephen William Hawking.

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