Question

An equilateral △ ABC is inscribed in a circle with centre O. What is the angle subtended by each side of the triangle at centre O.

Answer 1

Answer:

Step-by-step explanation:

△ABC is an equilateral triangle inscribed in a circle with center O.

 ∠ABC=∠BCA=∠CAB=60degree  

    [ Angles of equilateral triangle ]

We know that, angle subtended at the center of a circle is double angle at any point on circumference of circle.

= ∠BOC=2∠CAB

= ∠BOC=2×60degree

= ∠BOC=120degree

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