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Figure 1: Segment of a Circle Derivation. In fig. 1, if ∠AOB = θ (in degrees), then the area of the sector AOBC (A sector AOBC) is given by the formula; (A sector AOBC) = θ/360° × πr 2. Let the area of ΔAOB be A ΔAOB. So, the area of the segment ABC (A segment ABC) is given by. (A segment ABC) = (A sector AOBC) – A ΔAOB.
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Oct 24, 2024 · Use this segment area calculator to quickly compute the area of a segment. It can also be used to find chord length and arc length. If you're unsure what a segment of a circle is or even what a chord of a circle is, don't feel embarrassed – just scroll down to find a few definitions and some self-explanatory images.
Aug 3, 2023 · Area of a Segment of a Circle = θ/360° × πr 2 – ½ r 2 sinC. Factoring by 1/2r 2 we get, 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.
Example 3: Find the area of the major segment of a circle if the area of the corresponding minor segment is 62 sq. units and the radius is 14 units. Use π = 22/7. Solution: Area of the major segment = area of the circle - area of the minor Segment. = πr 2 − 62. = (22/7) × 14 × 14 − 62. = 554 sq. units.
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 ...
Area of Sector = θ2 × r 2 (when θ is in radians) Area of Sector = θ × π 360 × r 2 (when θ is in degrees) Area of Segment. The Area of a Segment is the area of a sector minus the triangular piece (shown in light blue here). There is a lengthy reason, but the result is a slight modification of the Sector formula:
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Apr 25, 2024 · Formula for Area of Segment of a Circle. Area of segment (when θ in radians) = (1/2) × r 2 (θ – sinθ) Area of segment (when θ in degrees) = (1/2) × r 2 [(π/180) θ – sinθ] Perimeter of Segment of a Circle. The perimeter of the segment is the sum of the length of the chord and the length of the arc.
