A circle has radius 7 cm. A tangent is drawn from an external point P. If the length of the tangent is 24 cm, what is the distance from P to the center of the circle?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 25 cm.
Radius (OA) = 7 cm
Tangent length (AP) = 24 cm
A tangent from an external point P touches the circle at the point A. So, OA ⟂ AP
Distance from P to center = OP
In ΔOAP, OP = √(OA2 + AP2) = √(72 + 242) = √(49 + 576) = √625 = 25 cm