Question

*The length of a tangent drawn from a point at a distance of 15 cm of circle is 12 cm. The radius of the circle is …………*

1️⃣ 8 cm
2️⃣ 9 cm
3️⃣ 10 cm
4️⃣ 11 cm​

Answer 1

Explanation:

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Answer 2

Since, OQ=9 cm and OP=15 cm

To find: PQ=?

By Pythagoras theorem,

OQ2+PQ2=OP2

(9 cm)2+PQ2=(15 cm)2

PQ2=225 cm2−81 cm2

PQ2=144 cm2

PQ=144 cm2

PQ=12 cm

Length of the tangent =12 cm