Question

HELP FAST The circumference of the smaller circle is 30% of the circumference of the larger circle. Find the circumference of the larger circle. Round your answer to the nearest tenth.

Answer 1

I attach the image of the circle in the picture below

Circumference larger circle = 62.831 in

Explanation:

The perimeter of a circle is defined as

P = 2* pi* r

where

r corresponds to the radius of the circle.

In this case,

r = d/2 = 3 in

The perimeter of the smaller circle results

P1 = 2*(3.1416)*(3 in) = 18.8495 in

The circumference of the smaller circle is 30% of the circumference of the larger circle, so

P1 = 0.3* P2

P2 = 18.8495 in / 0.3 = 20
`\pi` = 62.831 in