Question

The areas of 2 circles are in the ratio 16:25. Find the ratio of there circumferences.

Answer 1

Answer:

Step-by-step explanation:

Let r and R are radii of two circles ,

Ratio of their areas = 16 : 25

πr² : πR² = 16 : 25

r² / R² = ( 4/5 )²

r / R = 4/5-----( 1 )

Ratio of circumferences = 2πr / 2πR

= r / R

= 4/5

[ From equation ( 1 ) ]

= 4 : 5

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Answer 2

4:5

22/7(r)^2 =16-- 1 22/7(R)^2=25 --2

Divide 1 and 2 we get r=4 and R=5

2(pie)r is the circumference of a circle

To get the ratio we divide the both circumferences in which 2(pie) is commomn so they get cancelled then u get the r : R as 4 :5