Q:

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.

Accepted Solution

A:
AnswerI attach the image of the circle in the picture below Circumference larger circle = 62.831 inStep-by-step explanation:The perimeter of a circle is defined asP = 2* pi* rwhere r corresponds to the radius of the circle.In this case, r = d/2 = 3 in The perimeter of the smaller circle resultsP1 = 2*(3.1416)*(3 in) = 18.8495 inThe circumference of the smaller circle is 30% of the circumference of the larger circle, soP1 = 0.3* P2P2 = 18.8495 in / 0.3 = 20[tex]\pi[/tex] = 62.831 in