Answer to Question #331614 in Geometry for Ava

Question

A circle is placed in a square with a side length of 12 cm, as shown below. Find the area of the shaded region. use the value 3.14 for r, and do not round your answer. Be sure to include the correct unit in your answer.

Answer 1

Step 1.

Area of the square = L²

= 12cm x 12cm = 144 cm²

Step 2.

Area of the circle = πr²

Where r = 12/2 = 6cm

π = 3.14

Area of a circle = 3.14 x 6² = 113.04cm²

Step 3.

Area of the shaded region = Area of the square - Area of the circle

= 144cm² - 113.04cm² = 30.96cm²

Answer: S = 30.96cm²