Q. 34.5( 30 Votes )
In the figure, O is the centre of the circle and ∠POR = 120°. Find ∠PQR and ∠PSR
Given, ∠POR = 120°
We know that “Angle subtended at the center is twice the angle subtended at circumference by the same chord”.
⇒∠PQR = 60
Now, PQRS is a quadrilateral and angles on the opposite sides in the quadrilateral are supplementary.
∠ PSR = 180-∠ PQR
⇒∠ PSR = 180-60
⇒∠ PSR = 120o
Rate this question :
In the figure PR and QS are two diameters. Is PQ = RS?
Given that the vertices A, B, C of a quadrilateral ABCD lie on a circle. Also ∠A + ∠C = 180°, then prove that the vertex D also lie on the same circle.AP- Mathematics
A is the centre of the circle and ABCD is a square. If BD = 4cm then find the radius of the circle.
Prove that a cyclic rhombus is a square.AP- Mathematics
For each of the following, draw a circle and inscribe the figure given. If a polygon of the given type can’t be inscribed, write not possible.
(c) Obtuse triangle
(d) Non-rectangular parallelogram
(e) Accute issosceles triangle
(f) A quadrilateral PQRS with as diameter.AP- Mathematics