Write the equation of the circle with the given center and radius.
-Center (1, 0), radius 4
A) $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$
B) $( x + 1 ) ^ { 2 } + y ^ { 2 } = 16$
C) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 16$
D) $x ^ { 2 } + ( y + 1 ) ^ { 2 } = 4$

Question

Quizplus · Accepted Answer

The equation of a circle with center $(h, k)$ and radius $r$ is $(x - h)^2 + (y - k)^2 = r^2$. For center (1, 0) and radius 4, the equation is $(x - 1)^2 + (y - 0)^2 = 4^2$, which simplifies to $(x - 1)^2 + y^2 = 16$.

Write the Equation of the Circle with the Given Center x2+(y−1)2=4x ^ { 2 } + ( y - 1 ) ^ { 2 } = 4x2+(y−1)2=4

Write the Equation of the Circle with the Given Center $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 4$