Posted by sthabiso on Friday, February 15, 2013 at 1:07am.
A chord PQ of length 5.6cm divides a circle of radius 3.5cm into two segments.calculate the difference in areas between major and minor segment in the circle of chord PQ.

Copperbelt international college  Steve, Friday, February 15, 2013 at 4:57am
Draw a diagram. If the angle subtending the chord is x,
sin(x/2) = 2.8/3.5 = 0.8, so x/2 = 0.927
The area of a segment is 1/2 r^2 (xsinx)
So, the smaller segment has area 1/2 * 3.5^2 * (2*.927.8) = 6.46
The area of the whole circle is pi * 3.5^2 = 38.48
so, the area of the larger segment is 32.02
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