Question

This figure consists of a rectangle and a quarter circle.

What is the perimeter of this figure?
Use 3.14 for pi.

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 =
`(1)/(4) 2\pi r`

`$=(1)/(4) * 2 * 3.14 * 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.