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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.
- Sector of a Circle - Formula, Definition, Examples - Cuemath
What is the Formula for the Area of a Sector of a Circle? To...
- Sector of a Circle - Formula, Definition, Examples - Cuemath
30 Ιουλ 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.
The formula for the area of the sector of a circle is 𝜃/360 o (𝜋r 2) where r is the radius of the circle and 𝜃 is the angle of the sector.
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.
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.
A circle has an angle of 2 π and an Area of: πr2. A Sector has an angle of θ instead of 2 π so its Area is : θ 2π × πr2. Which can be simplified to: θ 2 × r2. Area of Sector = θ 2 × r 2 (when θ is in radians) Area of Sector = θ × π 360 × r 2 (when θ is in degrees)
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.
