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20 November, 12:36

If the circumference is 31.4, what are the radius and the area?

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  1. 20 November, 13:15
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    radius = 5 units

    area of a circle = 15.7units²

    Step-by-step explanation:

    given that the circumference of a circle = 31.4

    radius = ?

    recall that the formulae for finding the circumference of a circle = 2πr

    circumference of a circle = 2 x 3.14 x r

    31. 4 = 6.28r

    divide both sides by the coefficient of r which is 6.28

    31.4/6.28 = 6.28r/6.28

    5 = r

    radius = 5 units

    therefore the radius of the circle whose circumference is 31.4 units is evaluated to be 5units

    to find the area of the circle

    recall the formula = πr²

    area of a circle = 3.14 x 5²

    area of a circle = 3.14 x 25

    area of a circle = 15.7units²
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