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1. If the radius of the circle exists 2.4 kilometers and is intercepted by a central angle measuring 150° then the length of the arc exists 5π inches.

   What was the relation between the central angle and its intercepted arc?

   • If the vertex of an angle exists in the center of the circle and the two sides of the angle are radii in the circle, then this angle exists named a central angle.
   • Each central angle exists subtended by the opposite arc, the name of the arc exists the starting point and the finish point of the angle.
   • There exists a relation between the central angle and its subtended arc the measure of the central angle equals half the measure of its subtended arc.
   • The length of the subtended arc relies on the measurement of its central angle and the length of the radius and the measure of the arc.
   • The measurement of the circle exists at 360°.
   • The length of the circle exists at 2πr.

   The radius of the circle r = 2.4 kilometers

   The measure of the central angle exists at 150°.

   The length of the arc = central angle/360 × 2πr

   The length of the arc = 150°/360° × 2 × π × 2.4 = 2π

   The length of the arc exists 2π kilometers.

   To learn more about arc length refer to:

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