PQR is the diameter of a semicircle RSP with centre at Q and radius of length...

PQR is the diameter of a semicircle RSP with centre at Q and radius of length...

JAMB 1983

PQR is the diameter of a semicircle RSP with centre at Q and radius of length 3.5cm. If QPT = 60º. Find the perimeter of the figure PTRS. \(\pi\) = \(\frac{22}{7}\)

A. 25cm
B. 18cm
C. 36cm
D. 29cm
E. 25.5cm

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Correct Answer: Option A

Explanation

Circumference of PRS = \(\frac{\pi d}{2}\) = \(\frac{22}{7}\) x \(\frac{7}{1}\) x \(\frac{1}{2}\)

= 11cm

Side PT = 7cm, Side TR = 7cm

Perimeter(PTRS) = 11cm + 7cm + 7cm

= 25cm

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