Answer to Question #129464 in Geometry for VICKY

Question

A circle is placed in a square with a side length of 8cm, as shown below. Find the area of the shaded region.
Use the value 3.14 for π, 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

= 8cm x 8cm

= 64 cm²

Step 2.

Area of the circle = πr²

Where r = 8/2

= 4cm

π = 3.14

Therefore;

Area of a circle = 3.14 x 4²

= 50.24cm²

Step 3.

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

= 64cm² - 50.24cm²

= 13.24cm²