Multiple choice

Distance of a chord OP from the centre of a circle is 6 cm. If diameter of this circle is 20 cm, then what will be the sum of radius and length of chord OP?

  1. 18 cm

  2. 26 cm

  3. 16 cm

  4. 20 cm

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given diameter = 20 cm, so radius r = 10 cm. The perpendicular distance from the center to chord OP is 6 cm. Using the formula: (half chord)² + (distance from center)² = radius². So half-chord = √(10² - 6²) = √(100-36) = √64 = 8 cm. Full chord = 16 cm. Sum of radius and chord = 10 + 16 = 26 cm.