A sector of a circle of radius 7cm has an area of 44cm^{2}. Calculate the angle of the sector correct to the nearest degree [Take π = 22/7]

Answer Details

The formula for the area of a sector is: A = (θ/360)πr^{2} where A is the area of the sector, θ is the angle of the sector in degrees, r is the radius of the circle, and π is the mathematical constant pi. We are given that the radius of the circle is 7cm and the area of the sector is 44cm^{2}. Substituting these values into the formula above, we get: 44 = (θ/360) × (22/7) × 7^{2} Simplifying this equation, we get: 44 = (θ/360) × 22 × 7 44 = (θ/360) × 154 Multiplying both sides by 360, we get: θ = (44 × 360) / 154 θ = 102.597 Rounding to the nearest degree, we get: θ ≈ 103^{o} Therefore, the angle of the sector correct to the nearest degree is 103^{o}. Answer is correct.