Math, asked by vaibhav4410, 8 months ago

The circle a touches circle b and passes through the centre of circle
b. If the area of the circle a is 100cm2, then the area of circle b is

Answers

Answered by Fatimakincsem
2

The area of circle B is 400 cm^2.

Step-by-step explanation:

Since, it is given that circle A touches the circle B and circle A passes through the center of circle B.

Therefore, we can say that:

Radius  of circle  B = 2 x  Radius of circle A

Thus                       r(B) = 2 r(A)

Area of circle A =  π(rA)^2

                    100 = 22/7 x (rA)^2

              (rA)^2    = 700/22

Now taking the under root on both sides.

rA  =  √700/22

Thus rB = 2 x √700/22

rB = 400 cm^2

Thus the area of circle B is 400 cm^2.

Also learn more

The perimeter of a rectangle is 96 ft. Find the dimensions of the rectangle if the ratio of the length to the width is 7 : 5. Which of the following would be the best equation to use to solve this problem?

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Answered by ramithg99
0

Answer:

400 cm squared

Step-by-step explanation:

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