Question

the area of two circles are in the ratio of 16:49 calculate the ratio of the circumfrence

Answer 1

Answer:

4 : 7

Step-by-step explanation:

Using the Property of similar figure:

Area1/Area2 = (Length1/Length2)²

Find the ratio of the length:

Area1/Area2 = (Length1/Length2)²

(Length1/Length2)² = 16/49

Length1/Length2 = √(16/49)

Length1/Length2 = 4/7

Find the ratio of the circumference:

Circumference1/Circumference2 =  Length1/Length2

Circumference1/Circumference2 = 4/7

Answer: 4 : 7