Inscribed Angle
An angle whose vertex is on a circle and whose sides are chords of the circle.
Property
The degree measure of an inscribed angle is equal to one-half of the degree measure of the arc intercepted by the sides of the angle.Example
- In the figure below, angle BAC is an angle inscribed in the circle with centre O.
- [latex]m∠\textrm{BAC} = \frac{\textrm{m} {\widehat{\textrm{BC}}}}{2}[/latex] [latex]m∠\textrm{BAC} = \frac{60}{2}= 30[/latex]
- The degree measure of an angle inscribed in a semicircle is equal to that of a right angle.