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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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30 lip 2024 · So, what's the area for the sector of a circle: α → Sector Area. From the proportion, we can easily find the final sector area formula: Sector Area = α × πr² / 2π = α × r² / 2. The same method may be used to find arc length – all you need to remember is the formula for a circle's circumference.
What is the Formula for the Area of a Sector of a Circle? To calculate the area of a sector of a circle we have to multiply the central angle by the radius squared, and divide it by 2. Area of a sector of a circle = (θ × r 2 )/2 where θ is measured in radians.
Learn how to calculate the area and arc length of a circle sector and segment using angles and radii. See formulas, examples, interactive diagrams and exercises.
Area of Sector of a Circle Formula The sector of a circle is the region bounded or enclosed by the two radii and the arc that they intercept. The sector of a circle resembles a triangle where the radii act as the two congruent legs, and the third side is the arc.
The area of sector formula is produced by considering the percentage of the circle’s angle that it encloses. It is calculated by dividing the angle’s fraction by the circle’s whole area.
The formula used to find the area of a circlular sector - a pie-shaped part of a circle.