Ask Question
11 May, 10:32

The circumference of a circles is 16 pi ft. What is the area of the circle?

+5
Answers (2)
  1. 11 May, 10:42
    0
    A = 64 pi unit^2

    Step-by-step explanation:

    Circumference is given by

    C = 2 * pi * r

    16 pi = 2 * pi * r

    Divide each side by pi

    16 = 2r

    Divide by 2

    16/2 = 2r/2

    8 = r

    Now we can find the area

    Area is equal to

    A = pi r^2

    A = pi (8) ^2

    A = 64 pi unit^2
  2. 11 May, 10:58
    0
    64π ft^2.

    Step-by-step explanation:

    The formula for finding the Circumference of a circle is: C = πd where d represents the diameter of the circle.

    We know that C = 16 pi ft, solving for d:

    C = πd - > d = C/π = 16ft.

    The area enclosed of a circle of radius r is π r^2.

    we know that r = d/2 = 16ft / 2 = 8ft

    Then the area of a circle is: π r^2 = π (8) ^2 = 64π ft^2.
Know the Answer?
Not Sure About the Answer?
Find an answer to your question 👍 “The circumference of a circles is 16 pi ft. What is the area of the circle? ...” in 📗 Mathematics if the answers seem to be not correct or there’s no answer. Try a smart search to find answers to similar questions.
Search for Other Answers