Practice30 Create account

A circle has radius 5 cm and a point P is 13 cm from its centre O. Find the length of the tangent from P.

Class 10Tangent Lengths and IncirclesGeometry

A18 cm
B12 cm
C $194 c m$
D8 cm

Step-by-Step Solution

O A

⊥

P A

, so

P A^{2} = O P^{2} - O A^{2} = 169 - 25 = 144

and

P A = 12

cm. 8 cm subtracts lengths directly;

194

adds the squares.

Answer: B) 12 cm

Master this chapter in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Tangent Lengths and Incircles practice questions

More Class 10 Tangent Lengths and Incircles practice

The tangent from a point Q to a circle is 24 cm long and Q is 25 cm from the centre.…PA and PB are tangents from P to a circle with centre O and radius 6 cm, and PA = 8 cm.…A circle has radius 5 cm. Tangents PA and PB from P are 12 cm each. What is the area of…Quadrilateral ABCD is drawn around a circle so that all four sides touch it. AB = 6 cm,…A parallelogram is drawn so that all four of its sides touch a circle. The parallelogram…