If PQ is a tangent to the circle at R; calculate:
(i) ∠PRS (ii) ∠ROT
Given O is the centre of the circle and angle TRQ = 30°
From the given figure, prove that:
AP + BQ + CR = BP + CQ + AR
Also show that:
AP + BQ + CR = `1/2`× Perimeter of ΔABC.
In quadrilateral ABCD; angles D = 90°, BC = 38 cm and DC = 25 cm. A circle is inscribed in this quadrilateral which touches AB at point Q such that QB = 27 cm, Find the radius of the circle.
From a point P outside a circle, with centre O, tangents PA and PB are drawn. Prove that:
(i) `∠`AOP = ∠`BOP
(ii) OP is the ⊥ bisector of chord AB
In a triangle ABC, the incircle (centre O) touches BC, CA and AB at points P, Q and R respectively. Calculate:
In the following figure, PQ and PR are tangents to the circle, with centre O. If `∠`QPR = 60°, calculate:
(i) ∠QOR (ii) `∠`OQR (iii) `∠`QSR