Q12 of 100 Page 17

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

Given that O is the centre of circle.

Triangle ABC is an equilateral triangle


∠A = ∠B = ∠C = 60°


We Know that,


An angle subtended by an arc at the centre of the circle is double the angle subtended at any point on the circle.


∠BOC = 2 ∠BAC


∠BOC = 2 ∠A


∠BOC = 120°

More from this chapter

All 100 →
10

In a circle, the major arc is 3 times the minor arc. The corresponding central angles and the degree measures of two arcs are

 11

If A and B are two points on a circle such that m=260°. A possible value for the angle subtended by arc BA at a point on the circle is

 13

In a circle with centre O, AB and CD are two diameters perpendicular to each other. The length of chord AC is

 14

Two equal circles of radius r intersect such that each passes through the centre of the other. The length of the common chord of the circles is