Question

The cost of decorating the circumference of a circular lawn of a house at the rate of Rs 55 per metre is Rs 16940. What is the radius of the lawn?

Answer 1

Cost of decorating the circumference = Rs 16,940 

Cost of decorating per meter = Rs 55 

∴ Length of the circumference = \(\frac{16940}{55}\) m 

= 308 m 

Circumference of the circular lawn = 308 m 

2 x πr = 308 m 

2 x \(\frac{22}{7}\) x r = 308 m 

r = \(\frac{308\times7}{2\times22}\)

r = 49 m 

Radius of the lawn = 49 m