From a point P outside a circle

MATHEMATICS · Single correct · CBSE · Mathematics · Circles · Circles

Problem

From a point P outside a circle, two equal tangents PA and PB are drawn, each of length 15 cm. If OP, the distance from P to the centre O, is 1 cm more than twice the radius of the circle, determine the radius. (a)

10\text{ cm}

(b)

8\text{ cm}

(c)

6\text{ cm}

(d)

9\text{ cm}

Related theory

Pythagoras' Theorem
Triangle Properties
Circles
Tangent length properties
Tangent to a Circle
Tangent theorem (radius perpendicular to tangent)

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