The Inscribed Angles Calculator is a tool designed to calculate the measure of an inscribed angle within a circle. It simplifies the process of determining the angle formed by two intersecting chords or a chord and a tangent line inside a circle. The calculator specifically evaluates the angle's measurement based on the given measure of the central angle.
Formula of Inscribed Angles Calculator
The formula used in the Inscribed Angles Calculator is straightforward: Measure of Inscribed Angle in degrees = (Measure of Central Angle) / 2
Here's a breakdown of the terms within this formula:
- Measure of Inscribed Angle: This refers to the angle formed within a circle by two intersecting chords or a chord and a tangent line.
- Measure of Central Angle: It's the angle formed at the center of the circle by two radii extending to the endpoints of the arc that the inscribed angle subtends.
General Terms Table
Below is a table with some general terms related to the Inscribed Angles Calculator that users often search for. This table offers quick and helpful insights without requiring users to calculate each time.
| Term | Definition |
|---|---|
| Inscribed Angle | Angle formed inside a circle by intersecting chords or a chord and a tangent |
| Central Angle | Angle formed at the center of a circle by two radii |
| Circle | A closed shape consisting of all points equidistant from a center |
| Chord | A line segment with both endpoints on the circle |
| Tangent Line | A line that touches the circle at exactly one point |
Example of Inscribed Angles Calculator
Let's consider an example to illustrate how the Inscribed Angles Calculator works:
Suppose we have a circle where the central angle measures 120 degrees. Using the formula mentioned earlier: Measure of Inscribed Angle = 120 / 2 = 60 degrees.
This means that the inscribed angle formed in this scenario would be 60 degrees.
Most Common FAQs
A: Simply input the measure of the central angle into the provided field and click on the "Calculate" button. The calculator will instantly display the measure of the inscribed angle.
A: Inscribed angles have diverse applications in geometry and trigonometry. They are particularly useful in determining relationships between angles and arcs within circles.