Question

find the length of the tangent to a circle of radius 7 cm. from a distance of 25 cm from the centre​

Answer 1

Answer:

radius = 7cm

distance from the centre= 25cm

tangent= x

the tangent is perpendicular to the radius

by using Pythagoras theorem

x^2= 25^2-7^2

x^2= 625-49

x=√576

x= 24 cm

So the length of tangent is 24cm.

Answer 2

Answer:

Given,

radius = 7 cm

distance from centre = 25 cm

we know,

tangents from a external makes 90 degree with the radius of the circle.

So, it will be a right-angled triangle

According to Pythagoras theorem, we get

= √(25² - 7²) cm

= √(25 + 7)(25 - 7) cm

= √32 × 18 cm

= √576 cm

= √24×24 cm

= 24 cm