Multiple choice

In a circle of radius 7 cm tangent PT is drawn from a point P such that PT = 24 cm. If O is the center of the circle, then length OP =?

  1. 30 cm.

  2. 20 cm.

  3. 35 cm.

  4. 25 cm.
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Using the Pythagorean theorem in triangle OTP where OT is the radius (7 cm) and PT is the tangent (24 cm). Since the tangent is perpendicular to the radius at the point of contact, triangle OTP is right-angled at T. Therefore, OP = √(7² + 24²) = √(49 + 576) = √625 = 25 cm.

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