Math

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Find the area of a circle whose circumference measures 100 cm.

Area (to the nearest square centimeter) = cm2

I plugged in everything C = 2 r
C=2x3.14x100= 628 <<< The computer said it was WRONG !
Then, I tried C= 2X3.14X50= 314 !!!

If I am wrong can you EXPLAIN to me what I am doing wrong.

  • Math -

    C = 2πr
    r = C/2π

    area = πr^2 = π(C/2π)^2 = C^2/4π

    so, area = 10000/4π = 2500/π = 796 cm^2

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