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Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
Which term describe the distance from the center of a circle to any point on the circle?
The distance from the center of a circle to any point on the circle is called the radius of the circle. The radius is a line segment that starts at the center of the circle and ends at any point on the circle. It is always a straight line and is always perpendicular to the circumference of the circle. The radius is half the diameter of the circle, which is the distance across the circle through the center. The diameter of a circle is always twice the length of the radius. My recommendation ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ᴅɪɢɪꜱᴛᴏʀᴇ24.ᴄᴏᴍ/ʀᴇᴅɪʀ/372576/ꜱᴀɪᴋɪʀᴀɴ21ᴍ/
What part of the circle that fixed distance from any point on a circle to the circle's center?
The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.
A segment that passes through the interior of a circle and has both endpoints on the circle?
That's a chord. The longest possible chord is one that passes throughthe center of the circle. That one is called a "diameter" of the circle.
Is the center of a great circle also the center of a small circle?
No. Every circle on the sphere whose center is also the center of the sphere is a great circle. If the circle's center is not also the center of the sphere, then the circle is a small circle.
Definition of an interior of a circle?
the set of points whose distance from the center of the circle is less than that of the radius.
What is the interior of a circle?
The set points whose distance from the center of the circle that is less than the radius. A disk.
Does a radius sometimes always or never connects the center of the circle with a point on the circle?
always.
Why is the center of a circle inscribed in a triangle always the incenter?
That is the definition of the incenter; it is the center of the inscribed circle.
Does a cord that is a diameter always pass through the center of the circle?
Yes, a cord that is a diameter always passes through the center of a circle. And it's also the longest cord of that circle.
Which term describe the distance from the center of a circle to any point on the circle?
The distance from the center of a circle to any point on the circle is called the radius of the circle. The radius is a line segment that starts at the center of the circle and ends at any point on the circle. It is always a straight line and is always perpendicular to the circumference of the circle. The radius is half the diameter of the circle, which is the distance across the circle through the center. The diameter of a circle is always twice the length of the radius. My recommendation ʜᴛᴛᴘꜱ://ᴡᴡᴡ.ᴅɪɢɪꜱᴛᴏʀᴇ24.ᴄᴏᴍ/ʀᴇᴅɪʀ/372576/ꜱᴀɪᴋɪʀᴀɴ21ᴍ/
Is The diameter of a circle is a chord that does not always pass through the center of the circle.?
The diameter of a circle is a circle's largest chord.
What part of the circle that fixed distance from any point on a circle to the circle's center?
The radius is always at a fixed, unchanging distance from the center of a circle to all the surrounding points.
What does the center of a circle lie on?
It will always lie on a diameter.
What always runs through the center of the circle?
Diameter
Does a diamater sometimes always or never passes through the center of the circle?
Always
Does a diameter always sometimes or never passes through the center of the circle?
The diameter ALWAYS passes through the center of a circle. If it stopped at the center point, it would be a radius, and if it didn't do either, it would be chord.
