A circle has radius 5cm. What is the length of its longest chord?

Options

A. `9 cm`
B. `10 cm`
C. `15 cm`
D. `8 cm`

Answer

To find the length of the longest chord in a circle with a radius of 5 cm, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Concept of Chords**:
- In a circle, the longest chord is the diameter.

2. **Identify the Given Information**:
- The radius of the circle is given as 5 cm.

3. **Use the Formula for Diameter**:
- The formula to calculate the diameter (D) of a circle is:
\[ D = 2 \times \text{radius} \]

4. **Substitute the Radius into the Formula**:
- Substitute the given radius into the formula:
\[ D = 2 \times 5 \text{ cm} \]

5. **Calculate the Diameter**:
- Perform the multiplication:
\[ D = 10 \text{ cm} \]

6. **State the Final Answer**:
- Therefore, the length of the longest chord (which is the diameter) is:
\[ \text{Length of the longest chord} = 10 \text{ cm} \]

### Final Answer:
Hence, the longest chord of the circle is 10 cm.

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