Find the length of a tangent drawn to a circle with a radius of 6 cm, from a point 10 cm from the center of the circle.
Show answer & explanation
Correct answer: C
Explanation
The correct answer is Option 3 i.e 8 cm.
The tangent drawn to a circle is always perpendicular to the radius of the circle
Now,
In ΔOAB
⇒ AB2 = OA2 - OB2
⇒ AB2 = 102 - 62
⇒ AB2 = 100 - 36
⇒ AB = 8 cm