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Read the following statements carefully ...

Read the following statements carefully and select the correct option.
Statement-1: A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides.
Statement-2: A segment of a circle is the region in the interior of the circle enclosed by an arc and a chord.

A

Both Statement-1 and Statement-2 are true.

B

Statement-1 is true but Statement-2 is false.

C

Statement-1 is false but Statement-2 is true.

D

Both Statement-1 and Statement-2 are false

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question, we need to analyze both statements provided and determine their correctness. ### Step 1: Understand Statement-1 - **Statement-1**: A sector is the region in the interior of a circle enclosed by an arc on one side and a pair of radii on the other two sides. **Explanation**: A sector of a circle is indeed defined as the area enclosed by two radii and the arc between them. This means that Statement-1 is correct. ### Step 2: Understand Statement-2 - **Statement-2**: A segment of a circle is the region in the interior of the circle enclosed by an arc and a chord. **Explanation**: A segment of a circle is defined as the area enclosed by a chord and the arc that connects the endpoints of that chord. Therefore, Statement-2 is also correct. ### Step 3: Conclusion Since both statements are true, the correct option is that both statements are correct. ### Final Answer Both Statement-1 and Statement-2 are correct. ---
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