center (1,0) , radius $\sqrt { 10 }$
A) $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 100$
B) $( x - 1 ) ^ { 2 } + y ^ { 2 } = \sqrt { 10 }$
C) $( x + 1 ) ^ { 2 } + y ^ { 2 } = 10$
D) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 10$

Question

center  (1,0) , radius $\sqrt { 10 }$
A) $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 100$
B) $( x - 1 ) ^ { 2 } + y ^ { 2 } = \sqrt { 10 }$
C) $( x + 1 ) ^ { 2 } + y ^ { 2 } = 10$
D) $( x - 1 ) ^ { 2 } + y ^ { 2 } = 10$

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 a center at (1, 0) and radius $\sqrt{10}$, the equation is $(x - 1)^2 + (y - 0)^2 = (\sqrt{10})^2$, which simplifies to $(x - 1)^2 + y^2 = 10$.

Center (1,0) , Radius 10\sqrt { 10 }10​ A) x2+(y−1)2=100x ^ { 2 } + ( y - 1 ) ^ { 2 } = 100x2+(y−1)2=100

Center (1,0) , Radius $\sqrt { 10 }$ A) $x ^ { 2 } + ( y - 1 ) ^ { 2 } = 100$