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30 lip 2024 · With this sector area calculator, you'll quickly find any circle sector area, e.g., the area of a semicircle or quadrant. In this short article, we'll: Provide a sector definition and explain what a sector of a circle is. Show the sector area formula and explain how to derive the equation yourself without much effort.
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16 wrz 2022 · We will now learn how to find the area of a sector of a circle. A sector is the region bounded by a central angle and its intercepted arc, such as the shaded region in Figure 4.3.1. Let \(\theta \) be a central angle in a circle of radius \(r \) and let \(A \) be the area of its sector.
In order to find the area of a sector with the central angle in radians, we use the formula, Area of sector = (θ/2) × r 2; where θ is the angle subtended at the center, given in radians, and 'r' is the radius of the circle. For example, if the radius of the circle is 12 units, and the sector angle subtended by the arc at the center = 4π/3 ...
Sectors with angle measures in degrees. A sector is the interior of a circle between two radii. sector radius radius θ. There are 360 ° in a full circle. The central angle measure θ of a sector is between 0 ° and 360 ° , inclusive. Every sector has a fraction of the area of the full circle.
Free online area of a sector calculator. Calculate the area of any sector given its radius and angle in degrees. Supports different metrics like inches, feet, yards, cm, mm, meters, km.
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.
