Question

The figure consists of two quarter circles and a square.

What is the perimeter of this figure?

Use 3.14 for π .

82.24 in.

114.24 in.

132.48 in.

164.48 in.

Answer 1

the answer is b thank you

Answer 2

Answer: Second Option is correct.

Explanation:

Since we have given that

Quadrant with radius 16 inches and angle 90° .

`\text{Length of an arc of quadrant}=(\theta)/(360\textdegree)2* \pi * r\\\\\text{Length of an arc of quadrant}=(1)/(4)* 2* 3.14* 16\\\\\text{Length of an arc of quadrant}=25.12`

Since there are two quadrants:

So, Perimeter of quadrants is given by

`25.12* 2\\\\50.24\ in.`

Perimeter of this figure is given by

`50.24+16+16+16+16\\\\=114.24\ in`

Hence, Second Option is correct.