Question

Write an equation in standard form of a circle with the given center and radius. center (0,0); radius 4

Answer 1

show your work please!

Answer 2

The equation in standard form of a circle with center (0,0) and radius 4 is:

x^2 + y^2 = 16

Answer 3

Sure, here's how to arrive at the equation:

The standard form of a circle equation is:

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle and r is its radius.

In this case, we have:

center = (0,0)
radius = 4

So we can plug these values into the standard form equation and get:

(x - 0)^2 + (y - 0)^2 = 4^2

Simplifying, we get:

x^2 + y^2 = 16

This is the equation in standard form for a circle with center (0,0) and radius 4.