From a point A outside a circle with centre O, a tangent AB is drawn to the circle. The circle's radius measures 6 cm, and the tangent segment AB has a length of 8 cm. Find the distance between point A and the centre O of the circle.
Show answer & explanation
Correct answer: A
Explanation
Given:
Radius of the circle = 6 cm
Tangent AB = 8 cm
According to the formula:
For the tangent:
AO² = AB² + OB²
AO² = 8² + 6²
= 64 + 36
= 100
AO = √100 = 10 cm