How do you find the lengths of the arc on a circle of radius 15 inches intercepted by the central angle $180^{\circ}$ $180^circ$ ?

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How do you find the lengths of the arc on a circle of radius 15 inches intercepted by the central angle $180^{\circ}$ $180^circ$ ?

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Answer 1 · 2017-09-26T12:53:29

47.14 inches
or
$15 π inches$ $15 pi "inches"$

Explanation:

$angle = 180^{\circ} = 180^{\circ} \times \frac{π}{180^{\circ}} = π$ $"angle"=180^@=180^@xxpi/180^@=pi$
$radius = 15 inches$ $"radius"=15 "inches"$

Relation between arc and radius and angle
$angle = \frac{arc}{radius}$ $"angle"="arc"/"radius"$
$arc = angle \times radius = π \times 15 = 15 π inches$ $"arc"="angle"xx"radius"=pixx15=15pi"inches"$
$arc = 15 \times \frac{22}{7} = 47.14 inches$ $"arc"=15xx22/7=47.14 "inches"$

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How do you find the lengths of the arc on a circle of radius 15 inches intercepted by the central angle $180^{\circ}$ $180^circ$ ?

1 Answer

Explanation:

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How do you find the lengths of the arc on a circle of radius 15 inches intercepted by the central angle $180^{\circ}$ $180^circ$ ?