Question 19
Mensuration of Plane ShapesIn the diagram below, PXR and PYO are two semi-circles with diameters 14cm and 7cm respectively. (Take π = 22/7)
Find the perimeter of the region
- A.22cm
- B.33cm
- C.40cm
- D.47cm
- E.66cm
Show the answer and explanation
Answer: C (40cm)
Explanation
Arc PXR = ½ × 22/7 × 14 = 22cm, arc PYO = ½ × 22/7 × 7 = 11cm, plus the straight edge OR = 7cm: 22 + 11 + 7 = 40cm.