The areas of two circular fields are in the ratio 16 : 49

The areas of two circular fields are in the ratio 16 : 49. If the radius of the bigger field is 14 m, then what is the radius of the smaller field?

  1. 4 m
  2. 8 m
  3. 9 m
  4. 10 m

Answer

Area of circular field = πr2 ∝ r2

If the area is in the ratio of 16:49, radius will be in the ratio of √16:√49

Ratio of radius = 4:7 or 8:14

The correct option is B.