JEE Mathematics · Medium

Trigonometry: Circumradius MCQ

Solve this quality-checked JEE multiple-choice question, then review the correct answer and explanation.

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CircumradiusMediumQuestion 200036

Question

The circumradius R of triangle ABC satisfies:
  1. A
    R = a/(2 sin A)
  2. B
    R = a sin A / 2
  3. C
    R = abc / 4 × Area
  4. D
    Both A and C
    Correct

Correct answer

Both A and C

Explanation

From sine rule: 2R = a/sin A so R = a/(2 sin A). Also R = abc/(4Δ) where Δ is the area. Both are correct.