Question

A circle is drawn within a square as shown.

What is the best approximation for the area of the shaded region?

Use 3.14 to approximate pi.

A.10.54cm2

B.27.02cm2

C.87.47cm2

D.104.86cm2

Answer 1

I believe the answer to this is the first answer choice: A.10.54cm2

Answer 2

Option A

Explanation:

Given is a picture in which a circle is drawn within a square such that the circle touches all sides of the square.

This gives that the diameter of the circle = side of the circle

side of the circle = 7 cm. (given)

Hence area of the circle =

`πr^2\\=3.14{((7)/(2) ) ^2\\=38.465 cm^2`

Area of square =
`x^(2) =40 cm^2`

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

=
`49-38.465\\=10.535\\=10.54cm^2`

Option A is right answer.