CODEWITHSUNDEEP
math
El Tito Barte
El Tito Barte

Reputation: 275

How to calculate coordinates X and Y of a ellipse with angle

An image says more than words. enter image description here

How to calculate the X and Y.

Upvotes: -1

Views: 2036

Answers (1)

Am_I_Helpful
Am_I_Helpful

Reputation: 19158

It is not an ellipse strictly, but a circle.

The parametric equation of circle is given by (r cos t, r sin t), where r is the radius of the circle & t is the respective angle subtended by the point at the center of circle whose centre lies at origin.

x = r cos (t), y = r sin (t).

So, in your case the nature of the circle is center at 250,250 and radius = 250.

Therefore, equation of circle => (x - 250)^2 + (y - 250)^2 = 250^2.

Now, substitute t = 310 degree(we need to calculate the angle in anti-clockwise(counter-clockwise) direction, so t = 270 + 40 = 310 degrees, since y is in the downward direction, that too in the fourth quadrant with respect to circle) in the given equation and its parametric coordinate as x = 250 + r cos (t) ,and y = 250 + r sin (t) to calculate the values of x and y respectively.

Thanks to LutzL for clarifying OP's figure.

Upvotes: 3

Related Questions