Mathematics
WAEC 2016
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.
-
A.
19cm
-
B.
18cm
-
C.
17cm
-
D.
12cm
Correct Answer: Option A
Explanation
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)
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