The answer will depend on what the "certain distances" are for each point.
Perimeter is a term applied to the boundary of a shape or object. It is the distance around the outside of it. A link is provided below.
The quadrant is the one of the four quaters of a circle. It is the math term for a 1/4 of a circle.
Mutually Perpendicular
area
The distance around a circle is its circumference
"Circle". That "same distance" is the radius of the circle, and that "given point" is the center of the circle.
The distance around a circle is its circumference.
circle
Circle
A circle
Circle
===> "circle", with center at the "single point" and radius of the "certain distance".
A circle. However, that DOES depend on the Euclidean metric being used for measuring distance.
The term that describes the distance from the crest to the trough of a wave is called the amplitude.
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/
That's called the 'radius'.