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When the angle subtended at the center is given in degrees, the area of a sector can be calculated using the following formula, area of a sector of circle = (θ/360º) × πr 2, where, θ is the angle subtended at the center, given in degrees, and r is the radius of the circle.
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The area of a sector of a circle is given by the formula: In this formula, r is the radius of the circle and θ is the angle (in radians) of the sector. The image below shows what we mean by the area of a sector:
18 lip 2024 · If you know your sector's central angle in degrees, multiply it first by π/180° to find its equivalent value in radians. Or you can use this formula instead, where θ is the central angle in degrees: Sector Area = r² × θ × π / 360.
Area of a Sector: Formulas. 1) The formula to calculate the area of a sector of a circle when θ is in degrees is given by: Area of a sector = θ 360 ∘ × π r 2. where: θ is the angle of the sector in degrees (angle subtended by the arc at the center) r is the radius of the circle.
Calculate the area of a sector, formula in degrees and radians, area of segment, how to calculate the central angle of a sector, how to calculate the radius of a sector, in video lessons with examples and step-by-step solutions.
A sector is a fraction of circle defined by two radii. We can find its area by finding the area of the whole circle, then by using the central angle measure (in degrees or radians) to find the fraction of the total area that's inside the sector.
Area of Sector Side-by-Side for Degrees and Radians. For easy reference, I placed the two formulas side-by-side so you can easily see which formula to use. Use the one on the left if the angle is measured in degrees while the one on the right if the angle is in radians.