Multiple choice

8 cm long perpendicular is drawn from the Centre of circle to the 12 cm long chord. Find the diameter of the circle?

  1. 10 cm

  2. 12 cm

  3. 16 cm

  4. 20 cm
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The perpendicular from the center to a chord bisects the chord. So half the chord is 6 cm. Using Pythagorean theorem in the right triangle formed by the radius, perpendicular (8 cm), and half-chord (6 cm): radius² = 8² + 6² = 100, so radius = 10 cm. Diameter = 2 × radius = 20 cm. Option D is correct.

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