2020 · Q98
In the given figure, there are three semi circles ABC, AEF and CDF. The distance between A and C is 28 units and F is the mid-point of AC. What is the total area of the three semi circles?
Elementary MathematicsCircles
- A924 square units
- B824 square units
- C624 square units
- D462 square units
Explanation
The path consists of a semicircle on diameter 28 plus two semicircles on diameter 14. Together these make ½π(14² + 7² + 7²) = 147π. With π = 22/7 this is 147 × 22/7 = 462 m.