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.

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

Step-by-step 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

see below

Step-by-step 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