PT is a tangent to a circle whose centre is O, and where T is a point on the circle. If PT = 12 cm and PO = 13 cm, then find the radius of the circle.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 5 cm.
Given that:
PT = 12 cm, and PO = 13 cm
In △PTO
⇒ PO2 = TO2 + PT2
⇒ 132 = TO2 + 122
⇒ 169 = TO2 + 144
⇒ TO2 = 169 - 144
⇒ TO2 = 25
⇒ TO = 5 cm
Hence radius is 5 cm