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

Step-by-step 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

Since, we are given Quarter circle so its perimeter

Perimeter of given figure =

Perimeter of given figure =

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

18.8cm

Step-by-step explanation:

Multiply 3 by pi.

You get 9.42

Multiply that by 2.

You get 18.84.

Because the perimiter is also known as the circumference and the formula for that is 2rπ

10.7 cm

Step-by-step explanation:

The arc length is one quarter of the circumference

arc = × 2π × 3 = 1.5π

perimeter = 1.5π + 3 + 3 ≈ 10.7 cm

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