The diameter of a circle is 3.5 cms. What is the circumference of the circle ?

Options

A. 11 cms
B. 8 cms
C. 14 cms
D. 12 cms

Answer

To find the circumference of a circle when the diameter is given, we can follow these steps:

### Step 1: Identify the diameter
The diameter of the circle is given as 3.5 cm.

### Step 2: Calculate the radius
The radius (r) is half of the diameter.
\[ r = \frac{\text{Diameter}}{2} = \frac{3.5 \text{ cm}}{2} = 1.75 \text{ cm} \]

### Step 3: Use the formula for circumference
The formula for the circumference (C) of a circle is:
\[ C = 2\pi r \]
We can use the approximation \(\pi \approx \frac{22}{7}\).

### Step 4: Substitute the radius into the formula
Now, substitute the radius into the circumference formula:
\[ C = 2 \times \frac{22}{7} \times 1.75 \]

### Step 5: Simplify the calculation
First, calculate \(2 \times 1.75\):
\[ 2 \times 1.75 = 3.5 \]
Now substitute this back into the equation:
\[ C = \frac{22}{7} \times 3.5 \]
Next, convert 3.5 into a fraction:
\[ 3.5 = \frac{35}{10} = \frac{7}{2} \]
Now substitute:
\[ C = \frac{22}{7} \times \frac{7}{2} \]

### Step 6: Cancel out the common terms
The 7 in the numerator and denominator cancels out:
\[ C = \frac{22}{2} = 11 \text{ cm} \]

### Final Answer
The circumference of the circle is 11 cm.

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