Question 30

# In a circular field, there is a rectangular tank of length 130 m and breadth 110 m. If the area of the land portion of the field is 20350 m$$^2$$ then the radius of the field is

Solution

The area covered by the rectangular tank = 130*110 = 14300 m$$^2$$
The total area of the field = 20350+14300 = 34650 m$$^2$$
We know, 34550 m$$^2$$ = $$\pi*r^2$$
Thus, $$r^2 = \frac{34650*7}{22}$$
Thus, $$r = 105$$ m
Hence, option C is the correct answer.