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4 January, 19:29

A student solved for the radius of a circle with a circumference of 12π

Step 1: C = 2 pi r. Step 2: 12 pi = 2 pi r. Step 3: StartFraction 12 pi over 2 pi EndFraction = StartFraction 2 pi r over 2 pi EndFraction. Step 4: 6 = pi r. Step 5: StartFraction 6 over pi EndFraction = StartFraction pi r over pi EndFraction. Step 6: Solving for r, the length of the radius is StartFraction 6 over pi EndFraction centimeters. in which stept did he made the error

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  1. 4 January, 22:03
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    Step 4 is incorrect he did not divide correctly from step3 to step 4

    Step-by-step explanation:

    The circumference of a circle is

    C = 2 * pi * r

    We know the circumference is 12 pi

    12pi = 2 pi * r

    Divide each side by 2 pi

    12 pi/2pi = 2pi r / 2pi

    6 = r

    From step 3 The student did not cancel the pi in the top and the bottom on the right hand side to isolate r

    In step 4 he got 6 = pi r instead of pi
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