Since the angles at the centre of a circle are proportional to the arcs subtending them `(/_AOP)/(/_AOB)=(arc AP)/(arc APB)`

Find the angle subtended at the centre of a circle of radius 'a' by an arc of length (a pi/4)

Find the angle subtended at the centre of a circle of radius ' a ' by an arc of length (api//4) .

Fill in the Blanks: Angles subtended by an arc at the centre of a circle is _______ the angle subtended by the same arc at any other point on the remaining part of the circle.

The angular subtended at the centre of the circle by an arc of length equal to the radius of circle is

Prove that the front angle formed at the centre of a circle by an arc, is double of the angle formed by the same arc at any point on the circle.

Fill in the Blanks: Equal arcs of a circle subtend_____ angles at the centre.

The circumference of a circle, with centre O, is divided into three arcs APB, BQC and CRA such that : (arc APB)/(2)= (arc BQC)/(3) =(arc CRA)/(4) Find angleBOC .

An arc AB of a cricle subtends an angle x radians at the centre O of the circle, Given that the area of the sector AOB is equal to the square of the length of the arc AB, find the volume of x.

An arc AB of a circle subtends an angle x radians at the center O of the circle. Given that the area of the sector AOB is equal to the square of the length of the arc AB, find the value of x.

In the following figure, O is the centre of the circle. AB is an arc of the circle, such that angle AOB=80^@ .Find angle ACB .