Math Is Fun Forum

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Square ABCD Inside Circle 0

Square ABCD lies inside circle O. Square ABCD has been given side lengths to be 2 by 2. Square ABCD is NOT shaded. The remaining space in circle O is shaded. Find area of the shaded region.

Let me see.

Let A_r = area of shaded region.

A_r = area of circle O - area of Square ABCD.

Correct?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Square ABCD Inside Circle 0

Yes,

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Square ABCD Inside Circle 0

Yes,

Bob

This is correct but the other posts are not. Am I right? I am doing my best to describe the textbook pictures.

Bob, I have an idea. My questions come from Michael Sullivan's College Algebra Edition 9 book, which I can email to you or you can freely download yourself. It is a better idea for you to have the same book I have here. I can then post the page number for each set of questions.

You say?

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Square ABCD Inside Circle 0

Yes,

Bob

Problem 40; page 37.

Let me see.

Let A_r = area of shaded region.

A_r = area of circle O - area of Square ABCD.

From Problem 39, I know that r = sqrt{2}.

A_r = pi(sqrt{2})^2 - 2^2

A_r = 2pi - 4

You say?

Bob

Administrator

Registered: 2010-06-20

Posts: 10,627

Re: Square ABCD Inside Circle 0

Yes correct.  On the way to this answer you have done Q39 correctly.

Bob

---

Children are not defined by school ...........The Fonz
You cannot teach a man anything;  you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you!  …………….Bob

mathxyz

Member

From: Brooklyn, NY

Registered: 2024-02-24

Posts: 1,053

Re: Square ABCD Inside Circle 0

Yes correct.  On the way to this answer you have done Q39 correctly.

Bob

Thanks but I did 39 over because you said I got it wrong. Is my original work for 39 correct?