In fig., CP and CQ are tangents from an external point C to a circle with center O. AB is another tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm, find the length of BC

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Solution

As the lengths of tangents drawn from an external point to a circle are equal

CQ = CP = 11

Also

QB = BR = 4

Now BC = CQ – QB = 11 – 4 = 7 cm

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In fig., CP and CQ are tangents from an external point C to a circle with center O. AB is another tangent which touches the circle at R. If CP = 11 cm and BR = 4 cm, find the length of BC

As the lengths of tangents drawn from an external point to a circle are equal CQ = CP = 11 Also QB = BR = 4 Now BC = CQ – QB = 11 – 4 = 7 cm

As the lengths of tangents drawn from an external point to a circle are equal

CQ = CP = 11

Also

QB = BR = 4

Now BC = CQ – QB = 11 – 4 = 7 cm