Inscribed Angle Calculator

Formula

The formula to calculate the Inscribed Angle is:

\[ A = \left( \frac{L}{2 \pi r} \right) \times 360 / 2 \]

Where:

\( A \) is the inscribed angle
\( L \) is the length of the minor arc (arc length)
\( r \) is the radius

Inscribe Angle Definition

An inscribed angle is an angle contained within two arcs across a circle. The formula above uses the minor arc, or shortest arc, for the calculation of the inscribed angle.

Example Calculation

Let's assume the following values:

Length of Minor Arc (L) = 10 units
Radius (r) = 5 units

Using the formula:

\[ A = \left( \frac{10}{2 \pi \times 5} \right) \times 360 / 2 \approx \left( \frac{10}{31.42} \right) \times 180 \approx 0.318 \times 180 \approx 57.3° \]

The Inscribed Angle is approximately 57.3°.