Use a proportion to find the area of circle P. Circle P has a Circumernce of 24 cm, Circle H has a circumference of 30cm.

Question

Circle H has a area of 71.66cm².  The answer in the book is 45.8624cm^2.     Just not sure how to get there.

Answer 1

P:H ratio of circumferences is 24:30 or 4/5

 

Ratio of corresponding areas is the square of that, namely 16/25.

 

16/25 = x/71.66 where x represents area of circle P.

This gives the answer stated in textbook,45.8624 sq cm.