formula to find area of sector, segment and length of arc of circle?
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What is the Formula for Area of a Sector?
- Area of a Sector of Circle = (θ/360º) × πr2, where, θ is the angle subtended at the center, given in degrees, r is the radius of the circle.
- Area of a Sector of Circle = 1/2 × r2θ, where, θ is the angle subtended at the center, given in radians, r is the radius of the circle.
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)
The arc length of a circle can be calculated with the radius and central angle using the arc length formula,
- Length of an Arc = θ × r, where θ is in radian.
- Length of an Arc = θ × (π/180) × r, where θ is in degree.
Step-by-step explanation:
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