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Inscribed angle on a circle diameter

Inscribed angle from diameter on a circle

This math skill teaches that an inscribed angle formed from a diameter of a circle is always a right angle. This is because the central angle that spans the diameter is a straight line (180 degrees), making the inscribed angle half of that, or 90 degrees.

Learn inscribed angle on a circle diameter

Teaching Transcript

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What is the inscribed angle on this circle

When we have an inscribed angle and a central angle from the same points, the inscribed angle is half the central angle. But in this case, the central angle is a straight line since it's a diameter

So our inscribed angle is half of 180, or 90 degrees. An inscribed angle from a diameter will always be a right angle.

Skill Practice

Inscribed angle from diameter on a circle

Test your understanding of inscribed angle on a circle diameter by practicing it! Work through the below exercises to use it in practice.