Circle A has a diameter of approximately 20in and an area of approximately 300in2. Circle B had diameter of approximately 60in. Wiche of these could be the area of circle B Explain your reasoning. A about 100in2. B about 300in2. C about 900in 2. D 2,700in2

Question

Jenna Wells

Mathematics

3 January, 20:59

Circle A has a diameter of approximately 20in and an area of approximately 300in2. Circle B had diameter of approximately 60in. Wiche of these could be the area of circle B Explain your reasoning. A about 100in2. B about 300in2. C about 900in 2. D 2,700in2

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Answers (1)

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Rex Cantu · Answer 1

Answer: C is the correct option

Step-by-step explanation:

Circle A has a diameter of approximately 20in and an area of approximately 300in2. The ratio of the Diameter of circle A to the area of circle A will be

20/300 = 1/15

Circle B had diameter of approximately 60in. This is 3 times the diameter of circle A. This means also that they are similar circles. Therefore,

The ratio of the Diameter of circle A to the area of circle A = ratio of the Diameter of circle B to the area of circle B. Therefore,

1/15 = 60/area of circle B

Area of circle B = 60 * 15 = 900 in^2