#### What is the measure of an inscribed angle with an arc measurement of 13∘?

Anonymous

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Krishna

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Step 1: Recall what what is the inscribed angle and arc measurement

(or central angle)

NOTE:An** inscribed angle** is an angle whose vertex sits on the

circumference of a circle. The vertex is the common endpoint of

the two sides of the angle.

A **central angle(arc measurement)** is any angle whose vertex is

located at the center of a circle.

Step 2: Identify the relation between these two angles.

NOTE: The central angle is always twice the inscribed angle.

Step 3: Calculate the unknown angle by substituting the known value

Inscribed angle =\frac{Central\ angle}{2}

Inscribed angle = \frac{13}{2}