If the difference between the circumference and the radius of a circle is 37 cm, then using `pi=22/7`, the radius of the circel (in cm) is:

Options

A. 154
B. 44
C. 14
D. 7

Answer

To solve the problem, we need to find the radius of the circle given that the difference between the circumference and the radius is 37 cm. We will use the value of π as \( \frac{22}{7} \).

### Step-by-Step Solution:

1. **Understand the relationship given in the problem:**
The difference between the circumference (C) and the radius (r) is given as:
\[ C - r = 37 \]

2. **Write the formula for the circumference of a circle:**
The formula for the circumference of a circle is:
\[ C = 2 \pi r \]
Substituting the value of π:
\[ C = 2 \times \frac{22}{7} \times r = \frac{44}{7} r \]

3. **Set up the equation using the given information:**
Substitute the expression for C into the difference equation:
\[ \frac{44}{7} r - r = 37 \]

4. **Combine the terms:**
To combine the terms, we can express r as a fraction:
\[ \frac{44}{7} r - \frac{7}{7} r = 37 \]
This simplifies to:
\[ \left(\frac{44 - 7}{7}\right) r = 37 \]
\[ \frac{37}{7} r = 37 \]

5. **Solve for r:**
To isolate r, multiply both sides by \( \frac{7}{37} \):
\[ r = 37 \times \frac{7}{37} \]
\[ r = 7 \text{ cm} \]

### Final Answer:
The radius of the circle is \( 7 \) cm.