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20 August, 19:25

Which circles have a circumference of 20pi units? Choose all answers that are correct. a) a circle with a diameter of 40 units; b) a circle with a radius of 10 units; c) a circle with a diameter of 20 units; d) a circle with a radius of 20 units?

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  1. 20 August, 21:51
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    So, keep in mind that for a circle, circumference equals pi times the diameter. So, C=pi*d. In this problem, 20pi=pi*d. We can solve for d by dividing both sides by pi, for inverse operations: 20pi/pi = (pi*d) / pi. d=20. So, the diameter is 20 units. Finally, keep in mind that the radius is half the diameter. So, the radius is 20/2 units, or 10 units.

    Answer: B, C
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