Mathematics

An equilateral triangle ABC is inscribed in a circle with centre O. The measure of ∠BOC is :

  1. 120°

  2. 60°

  3. 90°

  4. 30°

Circles

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Answer

An equilateral triangle ABC is inscribed in a circle with centre O. The measure of ∠BOC is. Loci, RSA Mathematics Solutions ICSE Class 10.

In equilateral triangle ABC,

∠BAC = 60°

We know that,

The angle which an arc subtends at the center is double that which it subtends at any point on the remaining part of the circumference.

∴ ∠BOC = 2∠BAC = 2(60°) = 120°.

Hence, option 1 is the correct option.

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