Chapter 14.1, Problem 9PSA

To determine

To write an equation for the locus of points that are $4$ units from the origin.

Answer to Problem 9PSA

  $x^2+y^2=16$

Explanation of Solution

Given:

The points are given at $4$ units from the origin.

Calculation:

The locus is a circle with radius $4$ units and the equation of the circle is given by the following equation-

  ${(x-h)}^2+{(y-k)}^2=r^2$

Here $(h,k)=(0,0)$

And $r=4$ units.

So, the equation of the circle will be −

  $x^2+y^2=16$