The polar equation below is a circle. Determine the coordinates of the center and the length of the radius. r2 − 16rsinθ + 46rcosθ − 37,432 = 0 Q

Question

i cannot even get started with this equation

Answer 1

Let change to rectangular equation: x² + y² - 16y + 46x = 37432,

By completing squares we get: (x - 23)² + (y - 8)³ = 37432 + 23² + 8² or (x - 23)² + (y - 8)² = 195²;

Answer: given equation is a circle with center at point (23, 8) and radius r = 195