Question

Find the area of each shaded region. Point O marks the center of the circle.

Answer 1

can u give me a clue what i am suppossed to do here?

Answer 2

Looking for the area of the shaded region of the circle.

Answer 3

what is 90 degrees?

Answer 4

The central angle I believe

Answer 5

The length of the arc.

Answer 6

Sorry, the radius is 4

Answer 7

I totally forgot to include that. It was a lot to draw lol

Answer 8

The point is that if you draw a central angle with that arc, it's measure will be pi/4 and it's equal sides will be r.

Answer 9

As you say, it's nice to have r. If r = 4 then we have that the circular segment = sqrt(2) times the radius..

Answer 10

So I got 4pi

I do not know how, but through a couple of steps that is what I got. Can you confirm taht is the right/ wrong answer?

Answer 11

Umm.. you have a square that has sqrt(2) 4 on the side.
Area is 2 4 4 = 32
Circle area is pi 4 4
Subtract one from the other, and divide by 4.

Answer 12

Could you explain that is simpler terms?

It is like what my Geo Honors teacher said. I just did not understand it though.

I have a bunch of problems like these and I have been stressing over them for 3 days now. (They are due tomorrow).

Answer 13

Draw the radii that go with your figure. Then you'll have an isosceles triangle, that is also a right triangle (b/c of the arc of 90).

Answer 14

Can you give me the equation I am supposed to follow? I just need an example to be able to follow it.