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?

28 cm

⇒ Let the radius of the circle be R cm.

Acc. to the concept,

2\(\Pi \)R = 88,

⇒ 2 x \(\frac{22}{7}\) x R = 88

⇒ R = 7 x2

⇒ R = 14

So, Diameter = 14 x 2 = 28 cm

Acc. to the question,

XY chord subtends an angle of \({90}^\circ\) at the circumference of this circle.

But according to the concept, only the diameter of a circle subtends an angle of \({90}^\circ\) at the circumference of the circle,

Hence, XY has to be the diameter of the circle,

Now, XY = Diameter of the circle = 28 cm,

Therefore, length of XY is 28 cm.