Question

This figure consists of a rectangle and a quarter circle.

Answer 1

The perimeter of the figure is 50.56 cm.

Solution:

Radius of the quarter of a circle = 8 cm

Perimeter of the quarter circle = $\frac{1}{4} 2\pi r$

                                                  $=\frac{1}{4} \times 2 \times 3.14 \times 8$

                                                  = 12.56 cm

In figure, one side of the quarter circle is merged with rectangle, so remove one radius from the perimeter of the quarter circle.

Perimeter of the given quarter circle = 12.56 cm – one radius

                                                             = 12.56 cm – 8 cm

                                                             = 4.56 cm

Perimeter of the rectangle given = (17 – 8) cm + 10 cm + 17 cm + 10 cm

                                                       = 9 cm + 10 cm + 17 cm + 10 cm

                                                       = 46 cm

Perimeter of the given figure = 4.56 cm + 46 cm

                                                = 50.56 cm

Hence the perimeter of the figure is 50.56 cm.