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7 May, 02:20

Calculate the area of a circle with a radius of 2 cm and a circle with a radius of 4 cm. leave your answers in terms of pi. when the radius doubles, does the area of the circle double?

a. 4π cm2; 8π cm2; no

b. 4π cm2; 16π cm2; no

c. 4π cm2; 16π cm2; yes

d. 4π cm2; 8π cm2; yes

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Answers (1)
  1. 7 May, 05:27
    0
    Area of the circle with radius 2:

    A = pi * radius^2

    = pi * 2^2

    = pi * 4

    = 4pi cm^2

    Area of the circle with radius 4:

    A = pi * 4^2

    = pi * 16

    = 16pi cm^2

    16 is not 4*2 so no the statement is incorrect

    B is the correct option
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