Multiple choice

Circumference of a circle is 88 cm. Chord XY makes an angle of 90 degree at the circumference of this circle. What is the length of XY ?

  1. 42 cm

  2. 28 cm

  3. 14 cm

  4. 21 cm

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

Circumference = 2πr = 88 cm, so r = 14 cm. A chord that subtends 90° at the circumference subtends 180° at the center, making it a diameter. Therefore XY = 2r = 2 × 14 = 28 cm.