Question

This figure is 14 of a circle.

What is the best approximation for the perimeter of the figure?

Use 3.14 to approximate pi.


3.1 inches

6.3 inches

7.1 inches

12.3 inches
A quarter of a circle with radius labeled 2 in.

Answer 1

7.1

Explanation:

and don't forget we all have different answers :D

Answer 2

The perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.

Explanation:

Given : A quarter of a circle with radius labeled 2 in.

Quarter of circle means fourth part of a circle (as shown in image by shaded part).

We have to find the perimeter of this shaded quarter of circle.

Perimeter is the sum of the dimension of the given figure.

Perimeter of circle is
`2\pi r`

Since, we are given Quarter circle so its perimeter
`(2)/(4) \pi r+r+r=(1)/(2) \pi r+r+r`

Perimeter of given figure =
`(1)/(2) \pi r+r+r`

Perimeter of given figure =
`(1)/(2)\cdot 3.14 \cdot 2+2+2=3.14+4=7.14`

Thus, the perimeter of a quarter of a circle with radius 2 inches is 7.1 inches.