NCERT Solutions for Class 10 Maths Chapter 10

Important NCERT Questions

Circles

NCERT Books for Session 2022-2023

CBSE Board and UP Board Others state Board

EXERCISE 10.2

Page No:214

Questions No:6

# The length of a tangent from a point A at distance 5 cm from the Centre of the circle is 4 cm. Find the radius of the circle.

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Let, O be the centre and AB is tangent at B.

Given : OA = 5cm and AB = 4 Cm

We Know that the radius is Perpendicular to tangent.

Therefore, In ΔABO, OB ⊥AB.

In ΔABO, by pythagoras theorem,

AB² +BO² = OA²

⇒ 4² + BO² = 5²

⇒ 16 + BO² = 25

⇒ BO² = 9

⇒ BO = 3

⇒ Therefore, the radius of circle is 3 cm.