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31 May, 14:59

A circle has a diameter of 10 feet. What is the area of the circle? Leave answers in terms of π.

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Answers (2)
  1. 31 May, 15:15
    0
    25pi

    Step-by-step explanation:

    If the circle has a diameter of 10, it has an radius of 5. The area of a circle is pi*r^2. If r=5, then it is 25pi.
  2. 31 May, 15:19
    0
    25π feet^2

    Step-by-step explanation:

    The area of a circle can be found using the following formula.

    a=πr^2

    We are given the diameter, but we need to find the radius. The radius is half of the diameter, or

    r=d/2

    We know the diameter is 10 feet. Therefore, we can substitute 10 in for d.

    r=10/2

    Divide 10 by 2

    r=5

    The radius is 5 feet.

    Now we know the radius, and can substitute it into the area formula.

    a=πr^2

    r=5

    a=π*5^2

    Evaluate the exponent.

    5^2 is equal to 5*5, which is 25.

    a=π*25

    a=25π

    Add appropriate units. Area always uses units^2, and the units in this problem are feet.

    a=25π feet^2

    The area of the circle is 25π square feet
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