To find the values of theta and r for the point (-7,0) on the circle with radius R, we need to use trigonometric concepts.
First, let's find the value of r, the radius. Since the point (-7,0) lies on the circle, its distance from the origin (0,0) is equal to the radius. Using the distance formula:
r = sqrt((-7 - 0)^2 + (0 - 0)^2)
= sqrt(49 + 0)
= sqrt(49)
= 7
So, r = 7.
Next, let's find the value of theta. Since the point (-7,0) lies on the x-axis, the angle theta formed by the terminal ray in standard position and the x-axis is 180 degrees or π radians.
Therefore, the values of theta and r for the point (-7,0) are:
Theta (θ) = π radians
Radius (r) = 7
