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The figure bounded by an arc and the two...

The figure bounded by an arc and the two radii joining the end points of the arc with the centre is called a……….of the circle.

A

sector

B

segment

C

circumference

D

none of these

Text Solution

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The correct Answer is:
To solve the question, we need to identify the figure described in the question. Let's break down the solution step by step. ### Step-by-Step Solution: 1. **Understanding the Components**: - We have a circle, which is defined as a set of points equidistant from a central point (the center). - An **arc** is a portion of the circumference of the circle. It is defined by two endpoints on the circle. - **Radii** are the line segments that connect the center of the circle to any point on the circumference. 2. **Identifying the Figure**: - The question asks about the figure that is formed by an arc and two radii that connect the endpoints of that arc to the center of the circle. - Let's denote the center of the circle as point C, and the endpoints of the arc as points A and B. 3. **Drawing the Figure**: - Draw a circle and mark the center as point C. - Identify two points on the circumference of the circle, label them as A and B. - Draw the arc from point A to point B. - Now, draw two lines (radii) from point C to points A and B. 4. **Defining the Figure**: - The figure created by the arc AB and the two radii CA and CB is enclosed within the circle. - This enclosed area is defined as a **sector** of the circle. 5. **Conclusion**: - Therefore, the answer to the question is that the figure bounded by an arc and the two radii joining the endpoints of the arc with the center is called a **sector** of the circle. ### Final Answer: The figure bounded by an arc and the two radii joining the endpoints of the arc with the center is called a **sector** of the circle. ---
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