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The area of a sector can be calculated using the following formulas, Area of a Sector of Circle = (θ/360º) × πr 2, where, θ is the sector angle subtended by the arc at the center, in degrees, and 'r' is the radius of the circle.
Area of sector. In a circle with radius r and center at O, let ∠POQ = θ (in degrees) be the angle of the sector. Then, the area of the circle is calculated using the unitary method. When the angle of the sector is 360° (i.e., the whole circle), Then the area of the sector is:
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.
Jul 12, 2024 · Sector area formula. The formula for sector area is simple – multiply the central angle by the radius squared, and divide by 2: Sector Area = r² × α / 2. But where does it come from? You can find it by using proportions. All you need to remember is the circle area formula (and we bet you do!): The area of a circle is calculated as A = πr².
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 × r 2 (when θ is in radians)
Formula of the Area of Sector of Circle. To calculate the area of a sector, we use the formula for the area of the circle as the basis. The only difference is that instead of figuring out the area of a complete circle, we are figuring out the area of a portion or part of that circle.
Area of a sector formula: Area of a sector = \frac{\theta}{360} \times \pi r^{2} θ = angle of the sector. r = radius of the circle. In order to solve problems involving the area of a sector you should follow the below steps: Find the length of the radius \pmb{r}. Find the size of the angle creating the sector.
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.
If you're asking for the area of the sector, it's the central angle of 360, times the area of the circle, for example, if the central angle is 60, and the two radiuses forming it are 20 inches, you would divide 60 by 360 to get 1/6.
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.
