Question

a 3cm x a 3cm rectangle sits inside a circle with a radius of 4 cm. what is the area of the shaded region?

Answer 1

first make an area of rectangle centimeters square=3×3
=9cm2
the area of circle=πr2
=5.285
subtract area of rectangle-areaof circle
=3.715

Answer 2

Area of shaded region is 41.24 $cm^{2}$

• Given,

           Length of rectangle(l) = 3 cm

           Breadth of rectangle(b) = 3 cm

• Area of rectangle is given by

               $A_{1}$ = length x breadth

                    = 3 x 3

                    = 9 $cm^{2}$

• Given,

           Radius of circle(r) = 4 cm

• Area of circle is given by

                 $A_{2} =\pi r^{2}$

                      = $\frac{22}{7}(4^{2})$

                      = 3.14(16)

                      = 50.24 $cm^{2}$

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

                                                     = 50.24 - 9

                                                      = 41.24 $cm^{2}$