Multiple choice

A circle circumscribes a triangle ABC. Find the angle subtended by arc BC at the circumcentre of △ABC, If ∠BAC= 40∘.

  1. 300

  2. 600

  3. 400

  4. 800
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The central angle subtended by an arc at the circumcentre is twice the inscribed angle subtended by the same arc at any point on the circumference. Here, angle BAC = 40° is the inscribed angle subtended by arc BC. Therefore, the central angle at the circumcentre = 2 × 40° = 80°.

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