In the diagram MN is a chord of a circle KMN ce... - WAEC Mathematics 2016 Question
In the diagram MN is a chord of a circle KMN centre O and radius 10cm. If < MON = 140o, find, correct to the nearest cm, the length of the chord MN.
A
19cm
B
18cm
C
17cm
D
12cm
correct option: a
From the diagram
sin 70o = \(\frac{x}{10}\)
x = 10sin 70o
= 9.3969
Hence, length of chord MN = 2x
= 2 x 9.3969
= 18.7938
= 19cm (nearest cm)
sin 70o = \(\frac{x}{10}\)
x = 10sin 70o
= 9.3969
Hence, length of chord MN = 2x
= 2 x 9.3969
= 18.7938
= 19cm (nearest cm)
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