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Learn how to calculate the area of a segment of a circle using the formula and theorems. A segment is a part of a circle between a chord and an arc. See definitions, types, video lesson and solved problems.
You can calculate the segment area in three steps: Determine the radius of the circle. Calculate the central angle. Apply the segment area formula: 0.5 × r² × (α – sin(α))
A segment of a circle is the region that is bounded by an arc and a chord of the circle. Learn the process of finding the area of a segment of a circle along with a few solved examples and practice questions.
3 sie 2023 · Area (A) of a Segment of a Circle = ½ × r2 × (πθ /180 – sin θ) Thus, if the radius is known and the central angle of the segment is given in degrees, the formula to find the area of a segment is given below. Segment of a Circle Formula. Let us solve some examples to understand the concept better.
Find the area, arc length, chord length, height and perimeter of a circular segment by radius, angle, chord or height. Use online formulas, widgets and examples to solve geometry problems.
Learn how to calculate the area and arc length of a circle sector and segment using angles and radii. See examples, formulas and interactive diagrams.
Formula for Circle Segment Area. Calculating the area of a circle segment involves a bit more than just basic math. Here’s the formula you need: [\text{Area} = \frac{r^2}{2} \left(\theta – \sin(\theta)\right)] Where: ( r ) is the radius of the circle. ( \theta ) is the central angle in radians.
