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.
Practice questions

Equilateral triangle
is inscribed in Circle O.
Find the missing arc

In Circle O,
is a right triangle with diameter
as the hypotenuse.
If
and OR = 20, find
Answers and explanations

120 degrees
is equilateral, which means all sides of the triangle are equal. This also means that

60 degrees
The inscribed angle of a circle is half the measure of the intercepted arc: