Question

Determine the perimeter of the shape below

Answer 1

Answer : 40.57 ft

Step by step explanation :

The radius of the hemicircle is r = 8/2 cm = 4 cm.

So the perimeter of the hemicircle part is

`\pi * r \: = (22 / 7) * 4 = 12.57 \: cm`

The perimeter of the rectangular part = 10+10+8 = 28 cm.

So, the final answer is

`28 \: cm + 12.57 \: cm = 40.57 \: cm`

Answer 2

43.566 ft

Explanation:

Straight sides: 2 long 1 short

2 x 10 + 8 = 28 ft

Curved side: Remember that the circumference of a circle is 2πr or πd.

Since this is a semicircle, divide the circumference you get by 2.

From the diagram: d = 8

total circumference = 8 x π = 8π

semicircle = 8π ÷ 2 = 4π ft

Total perimeter

= (28 + 4π) ft

= (28 + 12.566) ft (5sf)

= 43.566 ft (5sf)