Question

Which of the following equations correctly represents a circle centered at the origin with a radius of 7?A. (x - 7)2 + y2 = 49 B. x2 + y2 = 72 C. x2 + y2 = 7 D. (x - 7)2 + (y - 7)2 = 72

Answer 1

Answer:

Option B. $(x)^{2}+(y)^{2} =7^{2}$

Step-by-step explanation:

we know that

The equation of a circle into center radius form is equal to

$(x-h)^{2}+(y-k)^{2} =r^{2}$

where

(h,k) is the center

r is the radius

In this problem we have

$(h,k)=(0,0)$ -----> because the center is at the origin

$r=7\ units$

substitute

$(x-0)^{2}+(y-0)^{2} =7^{2}$

$(x)^{2}+(y)^{2} =7^{2}$

Answer 2

"a circle centered at the origin with a radius of 7" has the form x^2 + y^2 = r^2. Here, r = 7, so the desired equation is x^2 + y^2 = 7^2.

None of the given answers is correct.

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