Angle subtended by a chord MN on the circumference of a circle is 90 degree. If radius of the circle is 12 cm, then what will be the length of chord MN?

30 cm 24 cm 6 cm 36 cm

24 cm

Using, if an angle subtended by a chord on the circumference of a circle is 90 degrees, then the chord is the circle's diameter. So, MN is the diameter. MN = 2(OM) = 2(ON) = 12 x 2 = 24 cm Therefore, MN = 24 cm.