What is the diameter of the largest circle lying on the surface of a sphere of…
2026
What is the diameter of the largest circle lying on the surface of a sphere of surface area 2,98,144 cm²?
(Use π = 22/7)
- A.
237 cm
- B.
154 cm
- C.
716 cm
- D.
308 cm
Attempted by 5 students.
Show answer & explanation
Correct answer: D
For a sphere, surface area = 4πr². Given 4 × (22/7) × r² = 2,98,144, so r² = 2,98,144 × 7 / 88 = 23,716, and r = 154 cm. The largest circle on a sphere is a great circle, whose diameter equals the sphere diameter, 2r = 308 cm. Hence option D is correct.