Inscribed Angles and Arcs — Practice Geometry Questions
In geometry, when you have an inscribed angle on a circle, the measure of the inscribed angle and the length of the intercepted arc are related.
An inscribed angle is equal to half of the intercepted arc.
The following practice questions ask you to find the measure of an inscribed arc and an inscribed angle.
is inscribed in Circle O.
Find the missing arc
In Circle O,
is a right triangle with diameter
as the hypotenuse.
and OR = 20, find
Answers and explanations
is equilateral, which means all sides of the triangle are equal. This also means that
The inscribed angle of a circle is half the measure of the intercepted arc: