Question

The diameter of a circle extends from (-15,2) to (3,2). If the area of this circle is the same as a square, what is a side length of that square?

Answer 1

@Directrix if you dont mind /.\

Answer 2

@ineedhelp10 Get the distance from (-15,2) to (3,2). The points lie on the same horizontal line so you can count units to get the length.

Post what you get, okay?

Answer 3

I got 17

Answer 4

I mean 18

Answer 5

If 18 is the diameter of the circle, then the radius of the circle = 9.

Answer 6

Now, we have to get the area of the circle.

A = pi * r^2

A = 3.14 * 9 * 9

A = ? @ineedhelp10

Answer 7

A=81pi @Directrix

Answer 8

Sorry. I don't think my notification system is working on OpenStudy.
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Answer 9

Take this --> 81pi and approximate for pi. Multiply 81 times 3.14. Post what you get.

Answer 10

I got 254.46 is that what you get?

Answer 11

I had 254.34. I think that is close enough. Let me check.

Answer 12

Yours is correct.

Answer 13

How do you plug it in your calculator? I think i might be plugging it wrong then

Answer 14

area of this circle is the same as a square
Then,
254.46 = x^2 where x is the side of the square. Recall that the area of a square is side times side.

@ineedhelp10 254.46 = x^2 --> What the square root of 254.46?
Post what you get.

Answer 15

15.95 @Directrix

Answer 16

Right again.

Answer 17

So, 15.95 is the side of the square. I don't know if you are supposed to round that. Check your directions and answer options.

Answer 18

it doesnt mention anything about rounding

Answer 19

I would go with the 15.95, then.

Answer 20

and thats the final answer then?

Answer 21

Well, here is the final question: what is a side length of that square?
And, 15.95 is what we figured to be the side of the square.

Answer 22

it'll be 15.95 as well then

Answer 23

@Directrix

Answer 24

@ineedhelp10