Find the length of tangent drawn to a circle of radius 6 cm from a point at a distance of 10 cm from the center of the circle?
Find the length of tangent drawn to a circle of radius 6 cm from a point at a distance of 10 cm from the center of the circle?
Explanation
Let's denote the length of the tangent as l.
We know that the radius is perpendicular to the tangent at the point of contact.
Using the Pythagorean theorem:
l² = 10² - 6²
= 100 - 36
= 64
l = √64
= 8 cm