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Arc Length

Arc Length. Start with the formula for radian measure …. … and multiply both sides by r to get …. Arc length = radius times angle measure in radians. Example 1: A circle has a radius of 7 in. Find the length of the arc subtended by a central angle of 4 rad.

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Arc Length

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  1. Arc Length • Start with the formula for radian measure … • … and multiply both sides by r to get … • Arc length = radius times angle measure in radians.

  2. Example 1: • A circle has a radius of 7 in. Find the length of the arc subtended by a central angle of 4 rad. • Arc length = radius times angle measure in radians.

  3. Example 2: • A circle has a radius of 6cm. Find the length of the arc subtended by a central angle of 52°. • Since the formula for arc length uses radian measure, we first change the degree measure to radians.

  4. Arc length = radius times angle measure in radians.

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