How to find out the coordinates of a point on a circle, knowing only the radius?

Question

Mathematics

Hello, I need to find the point marked on the image. Only the radius of the circle is known (=1).

Answer 1

If I understand correctly the signature "modulator" in the picture, then your angle is exactly 45 degrees. Then the coordinates of the point :
(sqrt(2)/2 ; sqrt(2)/2)
is approximately
(0.70711 ; 0.70711)

Answer 2

x = r*cos(fi)
y = r*sin(fi)
need radius and angle

Answer 3

If only the radius is known, then nothing.
Now, if the angle was also known , then another matter

Answer 4

A circle is an infinite collection of points equidistant from the center. Those. the circumference is determined by TWO! parameter: degree of equidistance (radius) and CENTER! Even if we assume that the center coincides with the origin of coordinates, as in your picture, all one of the same radius is not enough. radius defines INFINITE! amount of points. You need to know the direction vector from the center to the point (see picture). The vector is usually given by an angle in some problems the vector is given by a straight line passing through the center of the circle and a point outside the circle

Answer 5

Well, if the angle is 45, as shown in the figure, then the X, Y coordinates of the point are the root of 1/2 according to the Pythagorean theorem

Answer 6

The coordinates of any point on a circle of radius R centered at the origin obey this equation:
x^2 + y^2 = R^2

Answer 7

The circle is given by the center and radius.
If there is a center, then you can find the coordinates of the point.