Write the standard form of the equation of the circle with the center at (0,0) that has a radius of 6.A) y 2 = 6 x 2 y ^ { 2 } = 6 x ^ { 2 } y 2 = 6 x 2 B) y 2 = 36 x 2 y ^ { 2 } = 36 x ^ { 2 } y 2 = 36 x 2 C) x 2 + y 2 = 6 x ^ { 2 } + y ^ { 2 } = 6 x 2 + y 2 = 6 D) x 2 + y 2 = 36 x ^ { 2 } + y ^ { 2 } = 36 x 2 + y 2 = 36 E) y = 6 x 2 y = 6 x ^ { 2 } y = 6 x 2

Question

Write the standard form of the equation of the circle with the center at (0,0)  that has a radius of 6.A)    y 2 = 6 x 2 y ^ { 2 } = 6 x ^ { 2 } y 2 = 6 x 2 B)    y 2 = 36 x 2 y ^ { 2 } = 36 x ^ { 2 } y 2 = 36 x 2 C)    x 2 + y 2 = 6 x ^ { 2 } + y ^ { 2 } = 6 x 2 + y 2 = 6 D)    x 2 + y 2 = 36 x ^ { 2 } + y ^ { 2 } = 36 x 2 + y 2 = 36 E)    y = 6 x 2 y = 6 x ^ { 2 } y = 6 x 2

Anuradha Ishwaran · Accepted Answer

Final Answer : D, Explanation :  The standard form of the equation of a circle with center (0,0) and radius r is given by $x^2+y^2=r^2$. Substituting r=6, we get $x^2+y^2=36$, which is option D.

Write the standard form of the equation of the circle with the center at (0,0) that has a radius of 6.

A) $y ^ { 2 } = 6 x ^ { 2 }$
B) $y ^ { 2 } = 36 x ^ { 2 }$
C) $x ^ { 2 } + y ^ { 2 } = 6$
D) $x ^ { 2 } + y ^ { 2 } = 36$
E) $y = 6 x ^ { 2 }$

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