In the diagram MN is a chord of a circle KMN centre O and radius...

In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140^o, find, correct to the nearest cm, the length of the chord MN.

The correct answer is: A

From the diagram

sin 70^o = \(\frac{x}{10}\)

x = 10sin 70^o

= 9.3969

Hence, length of chord MN = 2x

= 2 x 9.3969

= 18.7938

= 19cm (nearest cm)