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6 June, 08:21

The cost of painting a circular traffic sign is $3.50 per square foot. How much, to the nearest dollar, will it cost to paint the sign if its diameter measures 36 in?

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  1. 6 June, 10:36
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    A = pi (r^2)

    1. Calculate radius:

    r = d/2, so r = 18

    2. Enter variable into equation

    a = pi (r^2)

    becomes a = 3.14 (18^2)

    3. Solve

    a = 3.14 (324)

    a ~ = 1018 in2

    4. Convert to feet

    1018/12 = 84 ft2

    5. Multiply by unit rate

    84 (3.5) = $294

    It will cost $294 to paint the sign.
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