Asked by ayomipo

trigonometry solve this question.A piece of string is wound tightly round a cylinder for 20 complete turns.The length of the spring is the found to be 3.96cm.calculate the diameter of the cylinder in cm

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Answered by ayomipo
Trigonometry.In a circle of radius 6cm of a chord is drawn 3cm from the center.(a) calculate the angle substended by the chord at the center of the circle.(b) Hence find the length of the minor arc cut off the chord
Answered by oobleck
20*πd = 3.96
d = 3.96/(20π)

Draw the diagram of the circle and chord. It should be clear that
(a) cos(θ/2) = 3/6
θ = 2π/3
(b) s = rθ = 6 * 2π/3 = 4π
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