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.
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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.
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What is the insribed angle on this circle given that its intersected arc is 110 degrees?
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The measure of an arc is the central angle that it intersects, so we have a central angle of 110 degrees also
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When we have an inscribed angle and a central angle from the same points, the inscribed angle is half the central angle.
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So our insribed angle is 55 degrees