Inscribed Angle
Inscribed Angle
\[\theta_i = \frac{\theta_c}{2}\]
Variables
thetaI = inscribed angle (rad)
thetaC = central angle (rad)
Description
What is this formula?
This formula calculates the inscribed angle of a circle from the corresponding central angle. An inscribed angle intercepting the same arc is always half the central angle.
When to use it
Use this formula when the central angle of an arc is known and the corresponding inscribed angle needs to be determined.
Example
If the central angle is 1.8 rad:
θi = 1.8 / 2 = 0.9 rad
Applications
- Geometry and trigonometry
- Circle theorem problems
- Engineering drawings
- CAD and drafting
- Educational mathematics
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