Question

Find the coordinates of the point on a circle with radius 4 at an angle of 2pi/3

Answer 1

Answer:

The coordinates of the point on a circle with radius 4 at an angle of $\frac{2\pi}{3}$ radians are x = -2 and y = 3.464.

Step-by-step explanation:

This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:

$(x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)$

Where $r$ and $\theta$ are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If $r = 4$ and $\theta = \frac{2\pi}{3}\,rad$, the coordinates of the point are:

$(x,y) = \left(4\cdot \cos \frac{2\pi}{3},4\cdot \sin \frac{2\pi}{3} \right)$

$(x,y) = (-2, 3.464)$

The coordinates of the point on a circle with radius 4 at an angle of $\frac{2\pi}{3}$ radians are x = -2 and y = 3.464.