The radius of a circular garden is 42 metre. The distance (in metre) covered by running 8 rounds around it, is :
`( " Take " pi = (22)/(7))`

Options

A. 3248
B. 2112
C. 1124
D. 4262

Answer

To find the distance covered by running 8 rounds around a circular garden with a radius of 42 meters, we will follow these steps:

### Step 1: Calculate the circumference of the circular garden.
The formula for the circumference (C) of a circle is given by:
\[ C = 2 \pi r \]
where \( r \) is the radius of the circle.

### Step 2: Substitute the values into the formula.
Given that the radius \( r = 42 \) meters and using \( \pi = \frac{22}{7} \):
\[ C = 2 \times \frac{22}{7} \times 42 \]

### Step 3: Simplify the expression.
First, calculate \( 2 \times \frac{22}{7} \):
\[ 2 \times \frac{22}{7} = \frac{44}{7} \]
Now, substitute this back into the circumference formula:
\[ C = \frac{44}{7} \times 42 \]

### Step 4: Perform the multiplication.
To simplify \( \frac{44 \times 42}{7} \):
\[ 44 \times 42 = 1848 \]
Now divide by 7:
\[ C = \frac{1848}{7} = 264 \text{ meters} \]

### Step 5: Calculate the distance for 8 rounds.
To find the total distance covered in 8 rounds, multiply the circumference by 8:
\[ \text{Total Distance} = 8 \times C = 8 \times 264 \]

### Step 6: Perform the final multiplication.
Calculating \( 8 \times 264 \):
\[ 8 \times 264 = 2112 \text{ meters} \]

### Final Answer:
The distance covered by running 8 rounds around the circular garden is **2112 meters**.

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