WebOct 26, 2024 · Formula for the Area of a Sector. The basic formula for the area of a circle, area \ (=\pi r^ {2}\) can be applied to find the area of sectors of the circle. The full circle has an angle of \ (2 \pi\) radians around the centre. So, the area of the sector with a central angle \ (\theta\) and having radius \ (r\) will be proportional to this ... WebIn order to derive the formula to calculate the angle at the centre of the sector, the formulae for the arc length and area of a sector can be rearranged so that we can calculate the...
How to Find Arc Length and Area of a Sector of a Circle
WebArea of sector (A) = (θ/360°) × πr 2 θ is the degree of the angle. r is the radius. Solved Examples Example 1:Determine the area of the sector that is contained inside a circle whose radius is 20 units and whose arc length is 8 units. Answer. Provided in the question, radius = 20 units and, Length of the arc = 8 units WebApr 6, 2024 · The formulas linking the diameter and area of a circle reads area = π × (diam/2)2 and diam = 2 × √ (area / π). For instance, the diameter of a circle with unit area is approximately equal to 1.128 because diam = 2 × √ (1 / π) ≈ 1.128. What is the radius of a circle of area 10? The radius is approximately equal to 1.785. college of the mainland city tx
Area of a Circle Calculator
WebJun 15, 2024 · Figure 6.10.7. Solution. The area of the segment is the area of the sector minus the area of the isosceles triangle made by the radii. If we split the isosceles triangle in half, each half is a 30-60-90 triangle, where the radius is the hypotenuse. The height of \DeltaABC is 12 and the base is 2 (123–√)=243–√. WebArea of sector = θ 360 × π r 2 Derivation: In a circle with centre O and radius r, let OPAQ be a sector and θ (in degrees) be the angle of the … WebIf you know the arc length and the radius, then the angle that is subtended by the sector is θ = L / r where L= arc length and r = radius (Angle in radians, of course.) Thus, the area of the sector would be: A = (θ / 2π) … college of the mainland engineering