Question

The radius of Circle A is 8 mm. The radius of Circle B is 5 mm greater than the radius of Circle A. The radius of Circle C is 4 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

Down There

Explanation:

Radii:

Circle A - 8

Circle B - 13

Circle C - 17

Circle D - 14

Circle A Area:

(pi)(r)^2, where r = 8

64pi or about 201.06

Circle B Area:

(pi)(r)^2, where r = 13

169pi or about 530.93

Circle C Area:

(pi)(r)^2, where r = 17

289pi or about 907.92

Circle D Area:

(pi)(r)^2, where r = 14

196pi or about 615.75

Circle D is greater than Circle A's area by 132pi or about 414.69.

Answer 2

Starting with Circle A, we know that its radius is 8 mm. Using the formula for the area of a circle, which is A = πr^2, we can find its area:
Area of Circle A = π(8 mm)^2 ≈ 201.06 mm^2
Moving on to Circle B, we know that its radius is 5 mm greater than the radius of Circle A, which means:
Radius of Circle B = 8 mm + 5 mm = 13 mm
Using the same formula, we can find the area of Circle B:
Area of Circle B = π(13 mm)^2 ≈ 530.93 mm^2
Proceeding to Circle C, we know that its radius is 4 mm greater than the radius of Circle B, which means:
Radius of Circle C = 13 mm + 4 mm = 17 mm
Using the same formula, we can find the area of Circle C:
Area of Circle C = π(17 mm)^2 ≈ 907.92 mm^2
Finally, for Circle D, we know that its radius is 3 mm less than the radius of Circle C, which means:
Radius of Circle D = 17 mm - 3 mm = 14 mm
Using the same formula, we can find the area of Circle D:
Area of Circle D = π(14 mm)^2 ≈ 615.75 mm^2
To find how many times greater the area of Circle D is compared to the area of Circle A, we can divide the area of Circle D by the area of Circle A:
Area of Circle D / Area of Circle A ≈ 3.06
Therefore, the area of Circle D is approximately 3.06 times greater than the area of Circle A.