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

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

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)=

We know, the diameter of circle is

Diameter of Circle A is

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

∴

distributing 2 with 2x and -3

⇒

⇒

Adding both side by 6

⇒

Cross multiplying both side.

⇒

∴ 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=

⇒ Radius of circle A=

∴ Radius of circle A= 19 feet.

Area of circle=

Taking π= 3.14

Area of circle A=

∴ Area of circle A= 1133.54

Circumference of circle= 2πr

Circumference of Circle A=

∴ Circumference of Circle A= 119.32

hello :

by applying the distributive property :

6 × 4.3 = 6 × ( 4 + 0.3 )

            =   (6 ×   4) + (6 ×   0.3)

            = 24 + 1.8

6 × 4.3 = 25.8