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1 Pure Mathematics

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Question 148

An annular sector is formed by two concentric circles. The outer radius is twice the inner radius. The total boundary length of the annular sector is 30 cm and its area is 50 cm2^22.

a.

Let the inner radius be r r\,r cm and the angle be θ \theta\,θ radians. Show that

r2−15r+50=0r^2-15r+50=0r2−15r+50=0.

[3]
b.

Find the two possible values of r r\,r and the corresponding values of θ\thetaθ.

[3]
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1 Pure Mathematics Questions

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