Question Detail
Question
Find the radius and center of a circle whose parametric equations are x = 1 + 4cosθ and y = 3 + 4sinθ.
Correct Answer
Option C is the correct answer.
Detailed Explanation
Parametric equations of a circle are x = h + r cosθ, y = k + r sinθ. Comparing, h = 1, k = 3, and r = 4. So center is (1,3) and radius is 4.
Hint
The general form is (h + r cosθ, k + r sinθ).