Question

The ratio of the radi oftwo circles is 4:5. Find the ratio of their areas​

Answer 1

Answer: 16:25

Step-by-step explanation:

Given:- The ratio of radius of two circles is 4:5.

To Find:- The ratio of their areas.

Solution:-

Let the radius of 2 circles be R1 & R2 and the area be A1 & A2.

∴According to the given condition,

R1/R2=4/5

We know that,

Area of the circle=πR²

∴A1/A2=πR1²/πR2²

∴A1/A2=[R1/R2]²

∴A1/A2=[4/5]²

∴A1/A2=16/25

Hence the ratio of their areas is 16:25.

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