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The radius of Circle A is three feet less than twice the diameter of Circle B. If the sum of the

diameters of both circles is 49 feet, find the area and circumference of Circle A.

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Answer:

Area of circle A = 1133.54 square feet

Circumference of circle A = 119.32 feet

Explanation:

d = diameter of circle A

D = diameter of circle B

For circle A

r = 2D - 3

Therefore, the diameter of circle A is 2* the r

d = 2 * ( 2D - 3)

d = 4D - 6

and

d + D = 49

slot in the value of d

4D - 6 + D = 49

4D + D = 49 + 6

5D = 55

Divide both sides by 5

D = 11

Slot in the value of D in d = 4D - 6

d = 4*11 - 6

d = 44 - 6

d = 38

Area of circle A = πd^2 / 4

= 3.14 * 38^2 / 4

1133.54 square feet

Circumference of circle A = πd

= 3.14* 38

= 119.32 feet

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