A circle has radius `12 cm`. What is the length of the longest stick that can be placed inside this circle such that the two ends of the stick lie on the circle?

Options

A. `22 cm`
B. `24 cm`
C. `20 cm`
D. `26 cm`

Answer

To find the length of the longest stick that can be placed inside a circle with a radius of 12 cm, we need to determine the diameter of the circle. The diameter is the longest distance across the circle, passing through the center, and it connects two points on the circle.

**Step-by-Step Solution:**

1. **Identify the radius of the circle.**
- Given: Radius (r) = 12 cm.

2. **Use the formula for the diameter of a circle.**
- The formula for the diameter (d) is:
\[ d = 2 \times r \]

3. **Substitute the radius into the formula.**
- Substitute the value of the radius into the formula:
\[ d = 2 \times 12 \, \text{cm} \]

4. **Calculate the diameter.**
- Perform the multiplication:
\[ d = 24 \, \text{cm} \]

5. **Conclusion.**
- Therefore, the length of the longest stick that can be placed inside the circle is:
\[ \text{Length of the longest stick} = 24 \, \text{cm} \]

**Final Answer:**
The length of the longest stick that can be placed inside the circle is **24 cm**.

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