Advertisements
Advertisements
प्रश्न
If O is the centre of the circle, find the value of x in the following figure

Advertisements
उत्तर
We have
∠AOB = 60°
By degree measure theorem: reflex ∠AOB = 2∠OAC
60° = 2∠OAC
∠OAC = `60^circ/2 = 30^circ` [Angles opposite to equal radii]
Or x = 30°
APPEARS IN
संबंधित प्रश्न
In the given figure, A, B, C and D are four points on a circle. AC and BD intersect at a point E such that ∠BEC = 130° and ∠ECD = 20°. Find ∠BAC.

Fill in the blank:
A circle divides the plane, on which it lies, in ............ parts.
Prove that the line joining the mid-point of a chord to the centre of the circle passes through the mid-point of the corresponding minor arc.
If O is the centre of the circle, find the value of x in the following figure:

If O is the centre of the circle, find the value of x in the following figure

In the given figure, O is the centre of the circle, prove that ∠x = ∠y + ∠z.

Prove that the angle in a segment shorter than a semicircle is greater than a right angle.
In the given figure, if ∠AOB = 80° and ∠ABC = 30°, then find ∠CAO.

In the given figure, AB is a diameter of the circle such that ∠A = 35° and ∠Q = 25°, find ∠PBR.

A circle has radius `sqrt(2)` cm. It is divided into two segments by a chord of length 2 cm. Prove that the angle subtended by the chord at a point in major segment is 45°.
