The area of sector of a circle whose radius is 12 metro and whose angle at the center is 42° is?
Correct answer: C. 52.8 m2
- A. 26.4 m2
- B. 39.6 m2
- C. 52.8 m2
- D. 79.2 m2
Explanation
A sector's area is (angle ÷ 360°) × πr². Substituting gives (42° ÷ 360°) × π × (12 m)² = 16.8π m² = 52.8 m² using π = 22/7. The likely wrong choice is 39.6 m², which results from using an incorrect fraction of the full circle.
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Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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