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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, proofs and solved problems.
What Is the Formula for Area of the Segment of a Circle? The area of the segment of the circle (or) minor segment of a circle is: (θ / 360°) × πr 2 - (1/2) r 2 sin θ (OR) r 2 [πθ/360° - sin θ/2], if 'θ' is in degrees
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.
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))
Learn how to calculate the area of a sector and a segment of a circle using angles and radii. See formulas, examples, interactive diagrams and exercises.
Circular segment. Circular segment - is an area of a "cut off" circle from the rest of the circle by a secant (chord). On the picture: L - arc length h - height c - chord R - radius a - angle. If you know the radius and the angle, you may use the following formulas to calculate the remaining segment values: Circular segment formulas. Segment ...
Learn how to calculate the area of a segment, which is the section between a chord and an arc of a circle. Use the formula: area of segment = area of sector - area of triangle. See worked examples and practice questions.
