Question

This figure consists of a square and a quarter circle.

What is the perimeter of this figure?

Use 3.14 for π .

Enter your answer as a decimal in the box.

Answer 1

5×4=20 (for the square)

`(2)\pi(5)`=31.4÷4=7.85 (for part of the circle)
20+7.85=27.85=perimeter

Answer 2

The perimeter of a figure be 27.85 ft .

Explanation:

Formula

Perimeter of a square = 4a

Where a is the side of a square .

`Perimeter\ of\ a\ circle = 2 \pi r`

Where r is the radius of a circle .

As the figure given in the question is consist of the square and
`(1)/(4)th` part of the circle .

As the length of the square side = 5 ft

Radius of the
`(1)/(4)th` part of the circle = 5 ft

3.14 = π

Thus

`Perimeter\ of\ figure = 4a + (2\pi r)/(4)`

Putting values in the formula

`Perimeter\ of\ figure = 4* 5 + (2* 3.14* 5)/(4)`

`Perimeter\ of\ figure = 20 + (31.4)/(4)`

`Perimeter\ of\ figure = 20 +7.85`

`Perimeter\ of\ figure = 27.85 ft`

Therefore the perimeter of a figure be 27.85 ft .