Answered

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The circumference of circle A is four times the circumference of circle B. Which statement about the areas of the circles is true?

Sagot :

Answer:

The area of circle A is 16 times the area of circle B.

Step-by-step explanation:

he area of circle A is three times the area of circle B.

It depends on the value of π.

It depends on the actual diameters of the circles.

The area of circle A is 16 times the area of circle

the circumference of a circle = 2 x pi x r

Let imagine that the radius of B is 2cm

then the circumference of B = 2 x 2 x pi = 4pi

If the circumference of a is 4 times that of B, it means the circumference is 16 and the radius is 8

Area of a circle is pi x r^2

Area of B = pi x 2^2 = 4pi

Area of A = pi x 8^2 = 64pi

64/4 = 16 pi

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