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PQR is the diagram of a semicircle RSP with centre at Q and radius of…

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: Option A
Explanation

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