Derive the formula of Area of segment ?
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Answers
Answer:
Formula To Calculate Area of a Segment of a Circle
Area of a Segment in Radians A = (½) × r2 (θ – Sin θ)
Area of a Segment in Degrees A = (½) × r 2 × [(π/180) θ – sin θ
THE ANSWER IS .........
Area of a Segment of a Circle Formula
Formula To Calculate Area of a Segment of a Circle
Area of a Segment in Radians ----- A = (½) × r2 (θ – Sin θ)
Area of a Segment in Degrees ---- A = (½) × r 2 × [(π/180) θ – sin θ]
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How do you derive the area of a segment?
Let S be a segment of C such that its base subtends an angle of θ at the center of the circle. Then the area A of S is given by: A=12r2(θ−sinθ)......
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How do you find the area of a minor segment?
Areas of segments :::::::
Hence the area of the segment (minor) can be calculated by subtracting the area of the triangle from the area of the sector. The area of the major segment can be calculated by taking the area of the minor segment from the total area of the circle....
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What is the formula for finding area of a sector?
The formula for sector area is simple - multiply the central angle by the radius squared, and divide by 2: Sector Area = r² * α / 2......
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What is 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: Area of Segment = θ − sin(θ) 2 × r2 (when θ is in radians) Area of Segment = ( θ × π 360 − sin(θ)2 ) × r2 (when θ is in degrees).......
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What is a segment?
A segment is a component of a business that generates its own revenues and creates its own product, product lines, or service offerings. Segments typically have discrete associated costs and operations. Segments are also referred to as "business segments.".......
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What is the area of major segment?
If you know the radius, r, of the circle and you know the central angle, ϴ, in degrees of the sector that contains the segment, you can use this formula to calculate the area, A, of only the segment: A = ½ × r^2 × ((π/180) ϴ - sin ϴ)......
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