SOLUTION: If the radius of a circle is 3 and is located inside of a square touching all 4 sides, what is the area of the 4 corners of the square? (Use 3.14 for pi) This is multiple choice

Question 74860: If the radius of a circle is 3 and is located inside of a square touching all 4 sides, what is the area of the 4 corners of the square? (Use 3.14 for pi)
This is multiple choice question. Need to see the formula that is used.
Multiple choice answers:
A. 5.15 sq units
B. 17.16 sq units
C. 7.74 sq units
D. 21.72 sq units
Thank you!
Found 2 solutions by jim_thompson5910, psbhowmick:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
If you drew a picture, you would see that the sides of the square equal the diameter (2r) of the circle. So the area of the circle is:

The area of the square is:

So the area of the corners of the square is the difference of the circle and the square.

Since we're using 3.14 for pi then plug in 3.14

So the area of the corners is 7.74 sq units which means the answer is c)

Answer by psbhowmick(878) (Show Source): You can put this solution on YOUR website!
(c) is correct

Area of the circle = sq. units.

The side of the square is .
Area of the square = sq. units

Reqd. area = (Area of the square) - (Area of the circle) = 36 - 28.26 = 7.74 sq. units.
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