Question

The radius of Circle A is 6 mm. The radius of Circle B is 4 mm greater than the radius of Circle A. The radius of Circle C is 2 mm greater than the radius of Circle B. The radius of Circle D is 3 mm 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

Area of circle A =113.14 mm²

Area of circle b = 314.29 mm²

Area of circle C = 452.57 mm²

Area of circle A = 254.57 mm²

2.25 times

Explanation:

Area of a circle = nr²

where n = 22/7

r = radius

Circle A's radius = 6mm

Circle B's radius = 6mm + 4mm = 10mm

Circle C's radius = 10mm + 2mm = 12mm

Circle D's radius = 12mm - 3mm = 9mm

Area of circle A = (22/7) x 6² = 113.14 mm²

Area of circle b = (22/7) x 10² = 314.29 mm²

Area of circle C = (22/7) x 12² = 452.57 mm²

Area of circle A = (22/7) x 9² = 254.57 mm²

Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A

254.57 mm² / 113.14 mm² = 2.25 times