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Arc length

Arc length. Radian measure can be used to find the length of a circular arc . A circular arc is part of a circle . The arc is often defined by the chord that intercepts it. A central angle of a circle is an angle whose vertex lies at the origin of the circle. s. θ. r.

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Arc length

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  1. Arc length • Radian measure can be used to find the length of a circular arc. A circular arc is part of a circle. The arc is often defined by the chord that intercepts it. A central angle of a circle is an angle whose vertex lies at the origin of the circle. s θ r

  2. Length of an arc • The length of any circular arc(s) is equal to the product of the measure of the radius of the circle (r) and radian measure of the central angle θ. s θ r

  3. Example 1 • Given a central angle of 128°, find the length of its intercepted arc in a circle of radius 5cm. Round to the nearest tenth. s θ r

  4. Example 2 • An arc is 21.58 cm long and is intercepted by a central angle of 28. What is the diameter of the circle? Round to the nearest tenth. s θ r

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