What is the equation of the height of a roller coaster that is 30 feet above the ground, is in a shape of a half circle and the general form of a circle with the center at the origin is x2 +y2 = r2?

Step-by-step explanation:

The general form of a circle is: (x - h)² + (y - k)² = r² ; where

Since the roller coaster is centered at the origin, then (h, k) = (0, 0)

Since the height of the roller coaster is 30, then radius (r) = 0

Equation of the circle is: (x - 0)² + (y - k)² = 30²

⇒ x² + y² = 900

To find the equation of the semicircle, solve for "y"

x² + y² = 900

      y² = 900 - x²

Since we are looking for the top half of the semicircle (because it is above ground), then use the positive root:  

f is the midpoint of

answer: the answer is fre sha voca do

step-by-step explanation: