Question

How much greater is the area of the square than that of the circle? The diameter of the circle is 10 in. Give your answer to the nearest tenth.

O 25.5 in?
O 21.5 in?
O 50.5 in2
O 78.5 in2

Answer 1

21.5

Explanation:

So if the diameter of the circle is 10, you can find:

Radius = 5

Side of square = 10

Area of square = 100

Area of circle = 25π

100 - 25π ≈ 21.5

Answer 2

Explanation:

Side of square = diameter of circle = 10 in

Area of square = side* side = 10 * 10 = 10 in²

r = 10/2 = 5 in

Area of circle = πr² = 3.14 * 5 * 5 = 78.5 in²

Area of square greater than circle = area of square - area of circle

= 100 - 78.5

=21.5 in²