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.

Question

Harshit Singh · Answer

Dear Student

△ABCis an equilateral triangle inscribed in a circle with centerO.
∠ABC=∠BCA=∠CAB=60o [ 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=2×60^o
∴ ∠BOC=120^o

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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.

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.

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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.

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.

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