A _______ of a circle is a region in the interior of the circle enclosed by an arc and a chord.

Options

A. sector
B. diameter
C. centre
D. segment

Answer

To solve the question, we need to identify the term that describes the region in the interior of a circle that is enclosed by an arc and a chord. Let's break it down step by step:

### Step 1: Understand the Terms
- **Circle**: A round shape where all points are equidistant from the center.
- **Chord**: A straight line segment whose endpoints lie on the circle.
- **Arc**: A part of the circumference of the circle.

### Step 2: Visualize the Components
- Draw a circle and label its center.
- Draw a chord inside the circle.
- Identify the arc that connects the endpoints of the chord.

### Step 3: Identify the Region
- The region enclosed by the arc and the chord is what we are trying to name.
- This region is specifically defined as a segment of the circle.

### Step 4: Choose the Correct Term
- The options provided are: Sector, Diameter, Center, or Segment.
- A **sector** is the area enclosed by two radii and an arc, not a chord.
- A **diameter** is a specific type of chord that passes through the center.
- The **center** is the middle point of the circle.
- The correct term for the region enclosed by an arc and a chord is a **segment**.

### Final Answer
The answer is: A **segment** of a circle is a region in the interior of the circle enclosed by an arc and a chord.

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