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

22cm

17cm

16cm

15cm

Correct answer is 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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