Question

Calculate the area of a circle with a radius of 2 inches and a circle with a radius of 4 inches. Leave your answers in terms of pi. When the radius doubles does the area of the circle double

Answer 1

A 1= pi ( 2 )^2
A1 = 4 pi
A2= 16 pi
No

Answer 2

no , it quadruples:
A=pi*r^2
A1=4pi
A2=16pi
proof that it quadruples:
A1=pi*r^2
A2=pi*(2r)^2
A2=pi*4r^2