Question

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#The circumference of two circles are in the ratio of 4:5. Find the ratio of their areas.

Answer 1

Answer:

circumference ratio = radius ratio = 4:5 = r1:r2

Area ratio = (r1)² : (r2)² = (4)² : (5)² = 16:25 (Ans.)

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Answer 2

Answer: 16:25

Step-by-step explanation:

Circumference of a circle =Perimeter of a circle=2*pie*r

Ratio of circumference of two circles =4:5

Let the radius of first circle be x cm and other be y cm

2*pie*x/2*pie*y=4/5

x/y=4/5

Now area of a circle=pie*r^2

pie*x^2/pie*y^2

x^2/y^2=4^2/5^2=16:25