Question
A circle has a radius of 15 cm, and a chord subtends a
central angle of 60° at the center. Find the area of the segment formed by the chord.Solution
Area of sector = (θ/360) × πr² = (60/360) × π(15)² = (1/6) × π(225) = 117.75 cm². Area of triangle = (1/2) × base × height = (1/2) × 15 × (15 × √3 / 2) = 97.425 cm². Area of segment = 117.75 – 97.425 = 20.325 cm².
More Quant Miscellaneous Questions
15.99% of 549.99 ÷ 11.17 = ? ÷ 20.15
74.91% of 639.95 – 599.98% of 45 + 119.987 = ?
(4.88 × 5.76)2 - ?2 = 39.89 × 19.86
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exactvalue.)
(1800.23 ÷ 29.98) + (816.32 ÷ 23.9) + 1634.11 = ?
1449.98 ÷ 50.48 × 10.12 = ? × 2.16
36.05 × 5.02 + 12.052 = ? + 9.09 × 4.04Â
(31.9)3 + (34.021)² - (16.11)3 - (42.98)² = ?
