What is its Equation?

Question

The circle is centered at the point (4,3) and has a radius of length 5.

What is its equation?

Answer 1

Hi, D'Artagnan.  

 

To answer that question, we need to recall the standard form of the equation for a circle.  That formula is: 

(x-h)²+(y-k)²=r²

In the formula, the point (h, k) is the center, and r is the radius of the circle.  To answer your question, we just need to plug in 4 for h, 3 for k, and 5 for r, which gives us: 

(x-4)²+(y-3)²=5²

If you'd like, you can write "25" instead of 5².  

 

Hope that helped!  

 

Alix B.