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Circles and Coordinates : Distance from the Center

I have solved this question and I would like to know if I am correct.
" A pizza shop delivers to all customers within a circle determined by the equation
X squared + Y squared = 400, If the pizza shop is at coordinates (0,0), would they delvier to someone who lives at coordinates (16,-11)
x + y = 20
Therefore the radius of the circle is 20 units.

d=square root (16-0)squared + (-11-0) squared
= 16 squared + -11 squared
= 256 + 121
= square root of 377
= 19.4 units

Therefore the person lives within the radius of the circle.

Solution Preview

Yes, you did it correctly. Assume that the pizza shop is at coordinates (0,0), someone who ...

Solution Summary

Distance from the center of a circle is investigated.