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29 November, 10:27

The circumference of a circle is 157 centimeters. What is the area of the circle in terms

of t?

A

7.570 cm?

B

157 cm

C

D

56.251 cm

2257 cm

+2
Answers (1)
  1. 29 November, 11:54
    +1
    The area of the circle is 56.25π cm²

    Step-by-step explanation:

    The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle The formula of the area of a circle with radius r is A = πr²

    To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area

    ∵ The circumference of a circle is 15π centimeters

    ∵ C = 2πr

    - Equate 2πr by 15π

    ∴ 2πr = 15π

    - Divide both sides by π

    ∴ 2 r = 15

    - Divide both sides by 2

    ∴ r = 7.5 centimeters

    Now let us use the rule of the area to find it

    ∵ A = πr²

    ∴ A = π (7.5) ²

    ∴ A = 56.25π centimeters²

    The area of the circle is 56.25π cm²
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