Question

A 3 cm x 3 cm rectangle sits inside a circle with radius of 4 cm.

What is the area of the shaded region?

Round your final answer to the nearest hundredth.

3 cm

4 cm

3 cm

cm2

Answer 1

THE CORRECT ANSWER IS 41.27 cm^2

3 cm x 3cm = 9 cm^2

16 pi cm^2 - 9 cm^2 = 41.27 cm^2

I know this is the correct answer because it was correct on khan academy!

Answer 2

41.24cm²

Explanation:

See attachment for the figure

First is to find area of rectangle

Given:

Length of rectangle 'l'= 3cm

breadth of rectangle 'b'= 3cm

Area of rectangle= l x b= 3 x 3=> 9cm²

Next is to find the area of the circle

Given:

radius 'r'= 4cm

Area of circle= πr² => π4² =>50.24cm²

Required:

area of the shaded region=?

area of the shaded region= area of the circle - area of the rectangle

area of the shaded region= 50.24 -9 =>41.24cm²

Therefore, area of the shaded region is 41.24cm²