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Length of Arc of a Circle
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Multiple Choice
A circle has a radius of 10 units. What is the length of an arc with a central angle of 90 degrees?
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5\pi units
10\pi units
15\pi units
5 units
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What is the circumference of a circle with a radius of 8 units?
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16 units
24\pi units
16\pi units
32\pi units
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If a circle has a radius of 7 units and the central angle is 45 degrees, how long is the arc?
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5.5 units
6.125 units
5.5\pi units
$\frac{7\pi}{4}$ units
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What is the formula to calculate the length of an arc when the radius is 5 units and the central angle is 60 degrees?
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$s = \frac{5 \times 60}{360}$
$s = \frac{\pi \times 5 \times 60}{180}$
$s = \frac{\pi \times 5 \times 60}{360}$
$s = \frac{\pi}{180} \times 5 \times 60$
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Which of the following is the formula for the arc length of a circle?
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$s = \frac{r \theta}{180}$
$s = \frac{\pi r \theta}{180}$
$s = 2\pi r$
$s = r \theta$
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