2 Answers

Zetar · Answer 1 · 2022-09-08T19:03:51+0000

Answer:

Option D is the correct answer

$\orange {\bold {{x}^(2) + {y}^(2) = {4}^(2)}}$

Explanation:

Since, circle is centered at the origin, and the length of its radius is 4. So, the equation of the circle will be:

${(x - 0)}^(2) + {(y - 0)}^(2) = {4}^(2) \\ \\\purple {\bold {{x}^(2) + {y}^(2) = {4}^(2)}}$

Tom Gullen · Answer 2 · 2022-09-11T19:13:58+0000

The equation of the circle with center at the origin and radius 4 is
x^2 + y^2 = 16.

The equation of a circle with center
(h, k) radius r is given by
(x-h)^2 + (y-k)^2 = r^2

In this case, the circle is centered at the origin
(h=0, k=0) adius is 4.

⇒
x^2 + y^2 = 4^(2)

⇒
x^2 + y^2 = 16.

Therefore, the equation of the circle is
x^2 + y^2 = 16.

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