Question

A circle with radius 12cm12cm , from a point P which is 20 cm away from the centre then length of tangent is​

Answer 1

Answer:

length of the tangent is 16 cm

Step-by-step explanation:

Let the centre of the circle be O and the tangent be PA with the point of contact as A

by Pythagoras theorem:

hypotenuse ² = base ² + height ²

PO² = PA² + QO²

20² = PA² + 12²

PA = √400 - √144

PA = √256

PA = 16 cm