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. \(\pi\) = \(\frac{22}{7}\)
Attached Figure / Diagram
A
25cm
B
18cm
C
36cm
D
29cm
E
25.5cm
Verified Correct Answer: A.
Step-by-Step Mathematical Solution
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
Source: Myschool Past Questions Archive (Record #32477)