Question

A circle with radius of 3cm sits inside a 8cm×7cm rectangle.
What is the area of the shaded region?

Answer 1

I am assuming the part not covered by the circle as being the shaded region.

Shaded Region = Area of Rectangle - Area of of circle
                          = (8 x 7) - ($\pi$ x $3^{2}$)
                         = 56 - (22/7 x 9)
                         = 56 - 28.29
                         = 27.71 $cm^{2}$

Answer 2

Answer:

Area of shaded portion = 27.74 cm²                          

Step-by-step explanation:

The radius of the circle is given to be = 3 cm

Area of the circle is given by : Area = π·radius²

⇒ Area of the circle = π × 3²

                                 = 3.14 × 9

                                 = 28.26 cm²

Dimensions of the rectangle = 8 cm × 7 cm

Area of the rectangle = 8 × 7

                                    = 56 cm²

Now, Area of the shaded portion = Area of rectangle - Area of circle

⇒ Area of shaded portion = 56 - 28.26

                                            = 27.74 cm²