Math Is Fun Forum

mathland

Member

Registered: 2021-03-25

Posts: 444

Geometry For You

59. Write the area A of a square as a function
of its perimeter P.

60. Write the area A of a circle as a function
of its circumference C.

61. Path of a Ball You throw a baseball to a child
25 feet away. The height y (in feet) of the baseball is
given by y = − (x^2)/10 x^2 + 3x + 6 where x is the horizontal
distance (in feet) from where you threw the ball.
Can the child catch the baseball while holding a baseball glove
at a height of 5 feet?

Enjoy.

XaiDiv

Member

From: Antarctica

Registered: 2021-08-22

Posts: 25

Re: Geometry For You

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Hellooooooooooooo

Rastlin

Member

Registered: 2022-02-24

Posts: 1

Re: Geometry For You

1/4P*2=A

C=2πr.   A=πr^2      A=C/2^2

y= -(25^2)10/25^2+3*25+6
        625.         625.   75
        6250/625+81
            y=91
No, he couldn't dream of catching that ball.

pamshaw

Member

Registered: 2021-12-07

Posts: 21

Re: Geometry For You

According to the Question
In order to solve the questions, a little background information of angles and Pythagorean theorem is required.

59: Write the area A of a square as a function
of its perimeter P.
Given that the perimeter of the square = P
Therefore, length of one side of the square = P/4
Area of square = x ^2
A = P²/16

60. Write the area A of a circle as a function
of its circumference C.
Given Circumference = C
Therefore, Radius of the circle = C/2π
Area of a circle = π(C/2π)²
A = C²/4π

61. Path of a Ball You throw a baseball to a child
25 feet away. The height y (in feet) of the baseball is
given by y = − (x^2) /10 x^2 + 3x + 6 where x is the horizontal
distance (in feet) from where you threw the ball.
Can the child catch the baseball while holding a baseball glove
at a height of 5 feet?
y= - (25^2) 10/ 25^2 + 3*25 + 6
        6250/625+81
            Y =91

Also you can find it here: [mytutorsource.hk/blog/properties-of-right-angle-triangle-and-how-to-apply-pythagorean-theorem]

Last edited by pamshaw (2022-04-12 19:56:46)