Question

The total cost of fencing a circular field at ruppes5 per metre is ruppes880. Find the:
(a) Circumference of the field.
(b) Radius of the field.
(c) Area of the field.​

Answer 1

Step-by-step explanation:

Circumference of a circular field :

$\implies$ $C=\Large\frac{Total\:cost}{cost\:m^{2}}$

$\implies$ $C=\Large\frac{880}{5}$

$\implies$ $\boxed{Circumference=176\:m^{2}}$

2. Radius of the field :

$\implies$ $C=2πr$

$\implies$ $176=2×{\Large\frac{22}{7}}×r$

$\implies$ $r={\Large\frac{176×7}{22×2}}$

$\implies$ $\boxed{radius=28}$

3. Area of the circular field :

$\implies$ $A=πr^{2}$

$\implies$ $A={\Large\frac{22}{7}}×28×28$

$\implies$ $\boxed{Area=2464\:m^{2}}$

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