Problem 16E
Circles and arcs Eliminate the parameter to find a description of the following circles or circular arcs in terms of x and y. Give the center and radius, and indicate the positive orientation.
x = 3 cos t, y = 3 sin t; 0 ≤ t ≤ π/2
Step-by-Step Solution:
Solution 16E
Step 1:
In this problem we have to eliminate the parameter o find a description of the following circles or circular arcs in terms of x and y.
Given
This is very similar to the circle of radius 3.
Now suppose we plug in these parametric equations to we get
(since
Thus
This is a circle of radius 3, centered at (0, 0).
Step 2 of 2
