Question

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

Answer 1

Answer:

5 cm

Step-by-step explanation:

let the radius be OA, length of tangent be AB and distance of tangent from centre be OB

AB = 12cm OB = 13cm

By pythagorus theorem,

OB^2 = AB^2 + OA^2

13^2 = 12^2 +OA^2

169 = 144 OA^2

169 - 144 = OA^2

25 = OA^2

OA = 5cm