Mathematics, 09.01.2020 01:31 Dreamer05

The radius of circle a is three feet less than twice the diameter of circle b. if the sun mmm of the diameters of both circles is 49 feet, find the area and circumference of circle a

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Answer from: CMCM5295

The area of circle A is 1,134.57 feet². The circumference of circle A is 119.43 feet.

The diameter of a circle is a straight-line from the center to both ends of the circumference of the circle. A radius is a line from the center of the circle to the circumference of the circle. A radius is half the length of the diameter.

Let:

d = diameter of circle B

r = radius of circle A

r = 2d - 3

Diameter of circle A = 2 x (2d - 3) = 4d - 6

Diameter of circle B can be determined by solving for d:

4d - 6 + d = 49

5d = 55

d = 11

Diameter of circle A = 4(11) - 6 = 38

Radius of circle A = 38/2 = 19 feet

Area of a circle = πr²

22/7 x 19² = 1,134.57 feet²

Circumference of a circle = πD

22/7 X 38 = 119.43feet

To learn more about the area of a circle, please check: link

Answer from: Jasminanai42

Area of Circle A = 1133.54

Circumference of Circle A= 119.32

Step-by-step explanation:

Given: Sum of both circle diameters= 49 feet.

Circle A radius= Three feet less than twice the diameter of circle B.

Lets assume diameter of Circle B is "x"

∴ Circle A radius (r)= (2x-3)

We know, the diameter of circle is

Diameter of Circle A is $2\times (2x-3)$

Next as given sum of both circle diameter is 49 feet.

∴ $2(2x-3)+x= 49\ feet$

distributing 2 with 2x and -3

⇒ 4x-6+x= 49

⇒ 5x-6= 49

Adding both side by 6

⇒ 5x=55

Cross multiplying both side.

⇒ $x=\frac{55}{5} = 11$

∴ Diameter of circle B is 11 feet.

Next, subtituting the value of x to get the value of radius for Circle A.

Radius of circle A= (2x-3)

⇒ Radius of circle A= $(2\times 11-3)= 22-3$

∴ Radius of circle A= 19 feet.

Area of circle= $\pi r^{2}$

Taking π= 3.14

Area of circle A= $3.14\times 19^{2} = 3.14\times 361$

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A= $2\times 3.14\times 19= 119.32$

∴ Circumference of Circle A= 119.32

Answer from: Quest

step-by-step explanation:

what was your answer?

Answer from: Quest

61/100, because if it is 0.(value) than it is value / 100 assuming value is 2 digits long. we cannot simplify it further because 61 is prime number.

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