In a circle radius rcm a chord 16 sqrt 3 cm lon... - WAEC Mathematics 2015 Question
In a circle radius rcm, a chord 16(\sqrt{3}cm) long is 10cmfrom the centre of the circle. Find, correct to the nearest cm, the value of r
A
22cm
B
17cm
C
16cm
D
15cm
Ask EduPadi AI...
Correct Option: B
In the diagram
|AM| = |MB| - (\frac{|AB|}{2})
= (\frac{16\sqrt{3}}{2})cm
= 8(\sqrt{3})cm
in (\Delta) AMO, r2 = |AM|Z + |MO|2
r2 = (8(\sqrt{3}))2
- 102
= 64 x 3 + 100
= 192 + 100
= 292
r = (\sqrt{292})
17.088cm
17cm
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