What will be the cost of fencing a circular garden of radius 35 m at the rate of ₹16 per meter?(Take `pi = (22)/(7)`)

Options

A. ₹3520
B. ₹3240
C. ₹2850
D. ₹3160

Answer

To find the cost of fencing a circular garden with a radius of 35 meters at a rate of ₹16 per meter, we can follow these steps:

### Step 1: Calculate the Circumference of the Circle
The formula for the circumference (C) of a circle is given by:
\[ C = 2 \pi r \]
Where:
- \( \pi \) is approximately \( \frac{22}{7} \)
- \( r \) is the radius of the circle

Substituting the values:
\[ C = 2 \times \frac{22}{7} \times 35 \]

### Step 2: Simplify the Calculation
First, calculate \( 2 \times \frac{22}{7} \):
\[ 2 \times \frac{22}{7} = \frac{44}{7} \]

Now, multiply this by the radius (35):
\[ C = \frac{44}{7} \times 35 \]

To simplify:
\[ C = \frac{44 \times 35}{7} \]

Calculating \( 44 \times 35 \):
\[ 44 \times 35 = 1540 \]

Now divide by 7:
\[ C = \frac{1540}{7} = 220 \text{ meters} \]

### Step 3: Calculate the Cost of Fencing
The cost of fencing is calculated by multiplying the circumference by the cost per meter:
\[ \text{Cost} = C \times \text{Rate} \]
Where:
- Rate = ₹16 per meter

Substituting the values:
\[ \text{Cost} = 220 \times 16 \]

Calculating this:
\[ \text{Cost} = 3520 \text{ rupees} \]

### Final Answer
The cost of fencing the circular garden is ₹3520.

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