Question

the length of the tangents from a point A at distance 12cm from the centre of the circle is 9cm what is the radius of the circle

Answer 1

Answer:

Since tangents make 90° to the center through radius, we can use pythagoras theorem.

Hypo = distance of point A from the center

= 12 cm

Height = length of the tangent = 9 cm

Radius² = Hypo² - height²

Radius² = 12² - 9² = 144 - 81 = 63

Radius = √63 = 3√7 cm