Question

A circle is cut from a square piece of cloth, as shown:

A square, one side labeled as 36 inches, has a circle inside it. The circle touches all the sides of the square. The portion of the square outside the circle is shaded.
How many square inches of cloth are cut from the square?

(π = 3.14)

A - 1,017.36 in2
B - 1,182.96 in2
C - 1,276.00 in2
D - 1,489.24 in2

Answer 1

The correct answer is B

Answer 2

area of circle = πr² /πd

find the area of the circle then minus it from the area of the square ,

36x36= 1296

πd =3.14 x 36 = 113.04

1296 - 113.04 = 1182.96