Question

the radius of a circle is 2 cm. A point 8cm away from the center of the circle. What is the length of the tangent drawn to the circle from the point.

Answer 1

7.75 cm

Explanation:

Let a circle having centre O and AB is a tangent of the circle and OB is the radius of the circle = 2 cm. And join AO such that AO = 8 cm.

`AB=\sqrt{(AO)^(2)- (OB)^(2)} cm`

`AB=\sqrt {8^(2)-2^(2)}=√(60)=7.745966692 cm\approx 7.75 cm`