PLEASE HELP IM DOING SO BAD ALREADY I NEED A GOOD GRADE. In the square below, the four quarter-circles are congruent. Find the area of the shaded region. If necessary round your answer to two decimal places. WRONG ANSWERS WILL BE REPORTED

PLEASE HELP IM DOING SO BAD ALREADY I NEED A GOOD GRADE In the square below the four quartercircles are congruent Find the area of the shaded region If necessar class=

Respuesta :

I'm assuming a quarter-circle is exactly 1/4 of a circle.  Thus if you have 4 congruent quarter-circles, that should mean they make a complete circle.

If that is the case, then we can find the area of the full circle using pi*r^2.

So the area of the circle is 5^2*pi or 25pi.

To find the area of the shaded region, we subtract the area of the circle from the area of the square.

The area of the square is 10^2 or 100.

So the area of the shaded region is 100 - 25pi.

My calculator says that equals roughly 21.46
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