293.Two tangents TP and TQ are drawn from an external point T to a circle with centre O, as shown in figure, If they are inclined to each other at an angle of 110°, then what is the value of ∠POQ?
Solution not provided.
Ans. 70°
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294.In the figure belwo, PA and PB are tangents to the circle drawn from an external point P. CD is a third tangent touching the circle at Q. If PA = 10 cm and DQ = 2 cm, what the length of PC?
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295.In the given figure, a circle is inscribed in a quadrilateral ABCD. If BC = 30 cm, BP = 22 cm, CD = 30 cm and AD ⊥ CD, find the radius of the circle.
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296.ABC is a right-angled triangle with AB = 16 cm, BC = 12 cm and AC = 20 cm. A circle with centre at O and radius r is inscribed in ΔABC. Find the value of r.
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297.In the given figure, PA and PB are tangents to a circle from an external point P touching the circle at A and B. QR is a tangent at a point S, intersecting PA and PB at Q and R respectively. Find the perimeter of ΔPQR if PA= 8 cm.
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298.The distance of a point from the centre of a circle is 1 cm more than twice the radius of the circle and the length of the tangent drawn from this point to the circle is 1 cm less than twice its radius. Find the radius of the circle.
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299.In the given figure, O is the centre of the circle. Determine ∠ABC and ∠APC, if DA and DC are tangents.
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300.ΔPQR is a right angled triangle with PQ = 8 cm, RQ = 15 cm and ∠PQR = 90°. A circle with centre at O is inscribed in ΔPQR. Find the radius.
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