Hello, I need to find the point marked on the image. Known only to the radius of the circle (=1).

asked August 19th 19 at 23:10

7 answers

answered on

Solution

If I understand correctly signed "modulator" in the picture, the angle You have exactly 45 degrees. Then the coordinates of a point :

(sqrt(2)/2 ; sqrt(2)/2)

this is about

(0,70711 ; 0,70711)

(sqrt(2)/2 ; sqrt(2)/2)

this is about

(0,70711 ; 0,70711)

answered on August 19th 19 at 23:14

If you know only the radius, it does.

Now, if it were known, and**the angle**, that is another matter

Now, if it were known, and

something I suspected, thank you. commented on August 19th 19 at 23:17

answered on August 19th 19 at 23:16

x = r*cos(fi)

y = r*sin(fi)

the desired radius and angle

y = r*sin(fi)

the desired radius and angle

answered on August 19th 19 at 23:18

Well, if the angle is 45, as shown in the figure, the X,Y coordinates of a point the square root of 1/2 by the Pythagorean theorem

that is 0.707, which judging by the picture, seems to be true) thanks commented on August 19th 19 at 23:21

a little more is not a sign? commented on August 19th 19 at 23:24

by : Pythagoras the easiest way. Hold the perpendiculars from a point on the axis X and y, we obtain an isosceles right-angled triangle with hypotenuse of length 1 (because the radius). By theorem, a^2 + b^2 = c^2, that a and b are equal, and c is a unit, we will obtain the equation 2x^2 = 1, from which x = √(1/2) commented on August 19th 19 at 23:27

answered on August 19th 19 at 23:20

A circle is specified by center and radius.

If there is a center, you can find the coordinates of the point.

If there is a center, you can find the coordinates of the point.

centre 0;0 commented on August 19th 19 at 23:23

answered on August 19th 19 at 23:22

A circle is an infinite set of points equidistant from the center. Ie a circle is determined by TWO! parameter: the degree of equidistance (radius) and CENTER! Even if we assume that the center coincides with the origin of coordinates as on your picture all one one little radius as the radius defines ENDLESS! the number of points. Need to know the direction vector from the center to the point (see picture). The vector typically is set by an angle in some problems of vector sets straight through the center of a circle and a point outside the circle

answered on August 19th 19 at 23:24

The coordinates of any point on the circle of radius R with center at the origin obey the equality:

x^2 + y^2 = R^2

x^2 + y^2 = R^2

Find more questions by tags GeometryMathematics

x = r*cos(fi)

y = r*sin(fi) - priscilla_Fram commented on August 19th 19 at 23:18