Question

the length of tangent to a circle which is 13cm distance from the centre of the circle is 12. find the radius of the circle​

Answer 1

Hope it might help you.!

Answer 2

Dear Student,

◆ Answer -

r = 5 cm

● Explanation -

Let O be origin of circle, P be assumed point and R be point of contact of tangent.

As tangent makes right angle with radius -

OP^2 = OR^2 + PR^2

Here, OP = 13 cm and PR = 12 cm.

13^2 = r^2 + 12^2

169 = r^2 + 144

r^2 = 169 - 144

r^2 = 25

r = 5 cm

Hence, radius of the circle is 5 cm.

Thanks dear. Hope this helps you..