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Answer :
Sure, let's break down the components of the question step-by-step for better understanding:
1. Understanding Central Angles:
- A central angle of a circle is an angle whose vertex is at the center of the circle. In this case, the center of the circle is referred to as point [tex]\( Z \)[/tex].
- The sides of a central angle are radii of the circle. These go from the center [tex]\( Z \)[/tex] to points on the circle.
2. Non-central Angle:
- It's important to note that any angle that does not have its vertex at the center of the circle, like the second angle mentioned, is not a central angle. This might refer to other types of angles in the circle such as inscribed angles.
3. Degree Measure of an Arc:
- The degree measure of an arc of a circle is equal to the degree measure of the central angle that intercepts it. So, if you have a central angle [tex]\( \theta \)[/tex], the arc it 'cuts' off from the circle, or the intercepted arc, also measures [tex]\( \theta \)[/tex] degrees.
4. Measurement of Segment Tu:
- The last part talks about "the measure of Tu," which presumably is a part of the circle. However, without specific numeric data or additional context about what Tu represents, like being an arc or a segment's length, we can't precisely define its measure in degrees.
In conclusion, without additional specific details or numeric information related to segment Tu or the specific angles, we can mainly focus on reinforcing the conceptual understanding of a central angle and its relationship with its intercepted arc. If you have more specific information about Tu or need further breakdown on central vs. other angles, feel free to ask!
1. Understanding Central Angles:
- A central angle of a circle is an angle whose vertex is at the center of the circle. In this case, the center of the circle is referred to as point [tex]\( Z \)[/tex].
- The sides of a central angle are radii of the circle. These go from the center [tex]\( Z \)[/tex] to points on the circle.
2. Non-central Angle:
- It's important to note that any angle that does not have its vertex at the center of the circle, like the second angle mentioned, is not a central angle. This might refer to other types of angles in the circle such as inscribed angles.
3. Degree Measure of an Arc:
- The degree measure of an arc of a circle is equal to the degree measure of the central angle that intercepts it. So, if you have a central angle [tex]\( \theta \)[/tex], the arc it 'cuts' off from the circle, or the intercepted arc, also measures [tex]\( \theta \)[/tex] degrees.
4. Measurement of Segment Tu:
- The last part talks about "the measure of Tu," which presumably is a part of the circle. However, without specific numeric data or additional context about what Tu represents, like being an arc or a segment's length, we can't precisely define its measure in degrees.
In conclusion, without additional specific details or numeric information related to segment Tu or the specific angles, we can mainly focus on reinforcing the conceptual understanding of a central angle and its relationship with its intercepted arc. If you have more specific information about Tu or need further breakdown on central vs. other angles, feel free to ask!
Thank you for reading the article A central angle such as angle tex square tex of circle tex Z tex is an angle whose vertex is at the center of the. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Jeany
