Question 1117505
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*[illustration angleSubtendedByChord.jpg]


From the calculation on the diagram, the measure of the subtended angle is the angle whose sine is *[tex \Large \frac{4}{5}] or approximately 2 radians.  It is absolutely, positively, 100% WRONG to express this answer to a greater precision than to the nearest whole radian.  The reason for this is that all measurements are approximations.  The given measurements in this problem are 6 cm and 10 cm.  That only promises that the distance, *[tex \Large d], from the chord to the center of the circle is in the interval *[tex \Large 5.5 \leq\ d\ <\ 6.5] and that the measure of the radius, *[tex \Large r] is in the interval *[tex \Large 9.5\ \leq\ r\ <\ 10.5].  If you want a more precise estimate of the subtended angle, you need to specify the measurements more precisely, e.g. 6.0 cm or 6.00 cm; adding zeros to indicate the desired precision.  Alternatively, you can simply express the answer exactly, to wit *[tex \Large 2\cdot\arcsin\(\frac{4}{5}\)]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

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