The circumference of a circle is 88 cm. Chord XY makes an angle of 90° at the circumference of this circle. What is the length of XY?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e. 28 cm.
Let the radius of the circle = R cm
2πR = 88
⇒ 2 × (22/7) × R = 88
⇒ R = 14
Diameter = 2 × 14 = 28 cm
Only the diameter of a circle subtends an angle of 90° at the circumference of the circle.
XY = Diameter of the circle = 28 cm