Question

The radius of Circle A is 8 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 4 cm greater than the radius of Circle B. The radius of

Circle D is 3 cm less than the radius of Circle C. What is the area of each​ circle? How many times greater than the area of Circle A is the area of Circle D​?

Answer 1

The radius of Circle B is 8 + 2 = 10 cm.
The radius of Circle C is 10 + 4 = 14 cm.
The radius of Circle D is 14 - 3 = 11 cm.

The area of Circle A is π(8)^2 = 64π square cm.
The area of Circle B is π(10)^2 = 100π square cm.
The area of Circle C is π(14)^2 = 196π square cm.
The area of Circle D is π(11)^2 = 121π square cm.

The area of Circle D is 121π/64π = 1.89 times greater than the area of Circle A.

Answer 2

The area of Circle A is 201.06 cm² (rounded to two decimal places).
The area of Circle B is 301.59 cm² (rounded to two decimal places).
The area of Circle C is 452.39 cm² (rounded to two decimal places).
The area of Circle D is 407.15 cm² (rounded to two decimal places).
The area of Circle D is 2.03 times greater than the area of Circle A (rounded to two decimal places).