Question

If diameter of a circle is twice as large as the diameter of a smaller circle, What

is the ratio of area of larger circle to area of smaller circle?

Kindly solve this question in an understandable way.

Answer 1

The ratio of area of larger circle to area of smaller circle is 4:1

Explanation:

Area of circle A=πr², d(diameter) = 2r(radius)

Area of larger circle = πR²

Area of smaller circle = πr²

Diameter of larger circle = 2 diameter of smaller circle

D =2 d

2R =2*2r

2R = 4r divide by 2

R =2r

Area of larger circle = πR²=π(2r)² = π*4r²

Area of smaller circle = πr²

π*4r²/ πr² =4/1

Answer 2

see below

Explanation:

Smaller circle

radius = r

A = pi r^2

Larger circle

radius = 2r

A = pi (2r)^2 = 4pi r^2

larger area / smaller area

4 pi r^2 / pi r^2

4/1