Question

A tangent is drawn to a circle of radius 4cm.from a point that lies at a distance of 5cm.from the centre.find the measure of length of the tangent.

Answer 1

Dear Student,

◆ Answer -

Length of tangent = 3 cm

● Explanation -

# Given -

r = 4 cm

x = 5 cm

# Solution -

Length of tangent is related to its distance from the centre and radius of the circle as -

x^2 = r^2 + l^2

5^2 = 4^2 + l^2

25 = 16 + l^2

l^2 = 25 - 16

l^2 = 9

l = 3 cm

Hence, length of the tangent is 3 cm.

Hope this helps you.