PQR is the diagram 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

Correct answer is A

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

= 11cm

Side PT = 7cm, Side TR = 7cm

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

= 25cm