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.

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

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