Question

The radius of circle a is 3 in the radius of circle b is 4 in greater than circle a circle c is 4 in greater than circle b the radius of circle d is 3 in less than the radius of circle c what is the area of all of the circles how many times greater than the area of circle a is the area of circle d

Answer 1

The areas are as follows

a = 28.26 inches^2

b = 153.86 inches^2

c = 379.94 inches ^2

d = 200.96 inches^2

The area of circle d is greater than that of a by about 7 times

Explanation:

Please see the attached files for explanation

Answer 2

• Area of Circle A
  `=9 \pi`
• Area of Circle B
  `=49 \pi`
• Area of Circle C
  `=121 \pi`
• Area of Circle D
  `=64 \pi`
• The area of circle D is
  `7(1)/(9)` times greater than the area of circle A.

Explanation:

Circle A

The radius of circle A is 3 in

r= 3 Inch

Area of Circle A
`=\pi r^2=3^2*\pi=9 \pi`

Circle B

The radius of circle B is 4 inch greater than circle A.

r= 4+Radius of circle A= 4+3 =7 Inch

Area of Circle B
`=\pi r^2=7^2*\pi=49 \pi`

Circle C

The radius Circle C is 4 in greater than circle b.

r= 4+Radius of circle B= 4+7 =11 Inch

Area of Circle C
`=\pi r^2=11^2*\pi=121 \pi`

Circle D

The radius of circle D is 3 in less than the radius of circle C.

r= Radius of circle C -3 = 11-3 =8 Inch

Area of Circle D
`=\pi r^2=8^2*\pi=64 \pi`

Area of Circle A
`=9 \pi`

Area of Circle D
`=64 \pi`

Number of Times by which Area of Circle D is greater than Area of Circle A

=
`(64 \pi)/(9 \pi) =7(1)/(9)`

• The area of circle D is
  `7(1)/(9)` times greater than the area of circle A.