Angle formed in minor arc of a circle is

Options

A. less than `90^@`
B. less than `180^@`
C. more than `180^@`
D. none of these

Answer

To solve the question regarding the angle formed in the minor arc of a circle, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Circle and Its Segments**:
- A circle can be divided into two segments by a chord. The smaller segment is called the **minor segment**, and the larger one is called the **major segment**.

2. **Identify the Angle Formed by the Chord**:
- When a chord is drawn in a circle, it creates an angle at the circumference of the circle. This angle is formed by the lines extending from the endpoints of the chord to the circumference.

3. **Determine the Type of Angle**:
- The angle formed in the minor segment is always an **obtuse angle**. An obtuse angle is one that measures more than 90 degrees but less than 180 degrees.

4. **Conclusion**:
- Therefore, the angle formed in the minor segment of a circle is always obtuse.

### Final Answer:
The angle formed in the minor segment of a circle is always obtuse.

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