In a circle radius rcm, a chord 16√3cm long is 10cmfrom the centre of the circle. Find, correct to the nearest cm, the value of r
22cm
17cm
16cm
15cm
Correct answer is B
In the diagram
|AM| = |MB| - |AB|2
= 16√32cm
= 8√3cm
in Δ AMO, r2 = |AM|Z + |MO|2
r2 = (8√3)2
+ 102
= 64 x 3 + 100
= 192 + 100
= 292
r = √292
17.088cm
17cm
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