A sector is cut from a circle of diameter 42 cm . If the angle of the sector is 150^ , then what is its area in cm^2 ? (Take π = 22/7 ) - Quantitative Aptitude MCQ SSC CGL 2026 | ExamTest.live

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A sector is cut from a circle of diameter 42 cm . If the angle of the sector is 15 0^{\circ}, then what is its area in cm^{2} ? (Take π = \frac{22}{7})

Solution & Step-by-step Explanation

Given:Diameter of the circle = 42 cm Radius, r = \frac{42}{2} = 21 cm Sector angle, θ = 15 0^{\circ} The area of a sector is given by the formula: Area = \frac{θ}{36 0 ^{\circ}} \times π r^{2} Substituting the values: Area = \frac{150}{360} \times \frac{22}{7} \times 21 \times 21 Area = \frac{5}{12} \times 22 \times 3 \times 21 Area = \frac{5}{4} \times 22 \times 21 = \frac{5 \times 11 \times 21}{2} = \frac{1155}{2} = 577.5 cm^{2}

Try it yourself before checking the explanation above.

A sector is cut from a circle of diameter 42 cm . If the angle of the sector is 15 0^{\circ}, then what is its area in cm^{2} ? (Take π = \frac{22}{7})

584.8

577.5

564.6

580.4

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