Question 1117505: 1. calculate the angle at the centre of a circle ,subtended by a chord 6cm from the centre of the circle with radius 10cm
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
From the calculation on the diagram, the measure of the subtended angle is the angle whose sine is  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,  , from the chord to the center of the circle is in the interval  and that the measure of the radius,  is in the interval  . 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 )
John
My calculator said it, I believe it, that settles it
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