Any angle whose vertex is at the centre of the circle is called
In the given figure, if ∠OAB = 40o then ∠ACB is equal to:
If the angles subtended by the chords of a circle at the centre are equal, then the chords are
Name the chord that subtends angle FOE at the centre.
In the given figure name the angle subtended by the chord PQ on the major arc
In figure, O and O” are centres of two circles intersecting at B and C. ACD is a straight line, then the value of x is:
The angles subtended by arcs XY and MN on the centre of the circle are 72° each. The length of chord XY = 15 cm, then the length of chord MN is:
In a circle with center O and a chord BC, points D and E lie on the same side of BC. Then, if∠BDC=80°, then ∠BEC =
In a circle with center O and a chord BC, the point D lies on the same side BC as O. If ∠ BOC = 50°,then ∠ BDC =
A regular octagon is inscribed in a circle. The angle that each side of the octagon subtends at the centre is
In the given figure, what is the measurement of YXZ?
In figure, O is the centre of the circle and PS bisects ∠QPR. Find ∠QRS.
An equilateral triangle ABC is inscribed in a circle with centre O. Angle BOC will be
In figure arc PQ = arc PR, ∠POQ = 30° and ∠QOS = 70°. Find ∠ROS.
Chord AB subtends ∠AOB = 60° at centre. If OA = 5 cm then length of AB (in cm) is :
In the figure, ∠M = 82°, then ∠O = ?
If ∠OAB = 40° then ∠ACB is equal to:
In ΔQAB, OA = OB [both are the radius of a circle]
∠OAB = ∠OBA ⇒ ∠OBA = 40°
[angles opposite to equal sides are equal] Also, ∠AOB + ∠OBA + ∠BAO = 180°
[by angle sum property of a triangle]
∠AOB + 40° + 40° = 180°
⇒ ∠AOB = 180° – 80° = 100°
We know that, in a circle, the angle subtended by an arc at the centre is twice the angle subtended by it at the remaining part of the circle.
∠AOB = 2 ∠ACB ⇒ 100° =2 ∠ACB
∠ACB = 100°/2 = 50°
In the figure, if AB is the diameter of the circle, then the value of x is:
An equilateral ΔABC is inscribed in a circle with centre O. The measure of ∠BOC is:
If the regular polygon is inscribed in a circle the sum of all the angles are at the the centre is