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Inscribed angle from an intersected arc

This math skill teaches how to find the measure of an inscribed angle in a circle, given the measure of its intersected arc. The inscribed angle is half the measure of the central angle that intersects the same arc.

Learn inscribed angle from an intersected arc

Teaching Transcript

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What is the insribed angle on this circle given that its intersected arc is 110 degrees?

The measure of an arc is the central angle that it intersects, so we have a central angle of 110 degrees also

When we have an inscribed angle and a central angle from the same points, the inscribed angle is half the central angle.

So our insribed angle is 55 degrees

Skill Practice

Inscribed angle from an intersected arc

Test your understanding of inscribed angle from an intersected arc by practicing it! Work through the below exercises to use it in practice.