PYQ Vault
EbooksTutor

Tangent length and distance of the point from the centre given: radius

The same question, asked 3 times: 20 Jul 2023 S1*, 20 Jul 2023 S3*, 23 Sep 2025 S2. Every wording below, oldest first.

Try each one first, then open its answer.

  1. Question 1

    20 Jul 2023 S1

    69
    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.

    Tap an option to check your answer.

  2. Question 2

    20 Jul 2023 S3

    51
    From a point Q, the length of the tangent to a circle is 20 cm and the distance of Q from the centre of the circle is 25 cm. The radius of the circle is:

    Tap an option to check your answer.

  3. Question 3

    23 Sep 2025 S2

    75
    A point P is outside a circle. The length of the tangent from P is 10 cm, and the distance from P to the center is 125\sqrt{125} cm. What is the radius of the circle?

    Tap an option to check your answer.