# How do you find inscribed angles?

**inscribed angle**is called the intercepted arc. To find the

**inscribed angle**, cut the intercepted arc in half. To find the intercepted arc, multiply the

**inscribed angle**by two.

Similarly one may ask, what is the formula of inscribed angle?

By the inscribed angle theorem, the measure of an inscribed angle is half the measure of the intercepted **arc**. The measure of the central angle ∠POR of the intercepted **arc** ?PR is 90°. Therefore, m∠PQR=12m∠POR =12(90°) =45°.

**arc length**according to the

**formula**above: L = r * Θ = 15 * π/4 = 11.78 cm . Calculate the area of a sector: A = r² * Θ / 2 = 15² * π/4 / 2 = 88.36 cm² . You can also use the

**arc length calculator**to find the central angle or the radius of the circle.

In this way, which is an inscribed angle?

An **inscribed angle** is an **angle** formed by two chords in a circle which have a common endpoint. This common endpoint forms the vertex of the **inscribed angle**. The other two endpoints define what we call an intercepted arc on the circle. It says that the measure of the intercepted arc is twice that of the **inscribed angle**.

**Circumradius**. The **circumradius** of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed. Similarly, the **circumradius** of a polyhedron is the radius of a circumsphere touching each of the polyhedron's vertices, if such a sphere exists.