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30 June, 12:03

The circumference of a circle is 15pie centimeters. What is the area of the circle in terms

of it?

There is no pie sign so I just spelt it

+1
Answers (1)
  1. 30 June, 12:28
    0
    176.71 cm

    or

    56.25π cm

    Step-by-step explanation:

    The formula for the circumference of a circle is:

    C = πd

    Where C is the circumference and d is the diameter

    Let's substitute the circumference given into this formula:

    C = πd

    15π = πd

    Now, we can solve this equation for d.

    Divide by π on both sides:

    15π = πd

    /π / π

    15 = d

    Therefore, the diameter is 15 cm.

    We need to find the area. The formula for the area of a circle is:

    A = πr²

    First, let's find the radius. The radius is half of the diameter, so divide the diameter by 2.

    15/2 = 7.5

    radius = 7.5 cm

    Now, we can solve for the area.

    Substitute into the formula for area:

    A = πr²

    A = π (7.5²)

    A = π (56.25)

    A ≈ 176.71

    Therefore, the area is approximately 176.71 cm, or in terms of pi, 56.25π.
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