Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question

Question

Given the parametric equations x - 9 = 3 cos θ and y + 14 = 3 sin θ, what is the radius of the circle?
Options
A 9
B 14
C 3
Correct Answer
D √(9²+14²)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Rewriting the equations as x = 9 + 3 cos θ and y = -14 + 3 sin θ, the coefficient of cos θ and sin θ, which is 3, represents the radius r.

Hint

The radius is the constant multiplying the trigonometric functions.

Question Info