Question

This circle is centered at the origin, and the length of its radius is 8. What is

Answer 1

$\quad \huge \quad \quad \boxed{ \tt \:Answer }$

$\qquad \tt \rightarrow \: x² + y² = 64$

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$\large \tt Solution \: :$

Standard equation of circle is :

$\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}$

• $\textsf{h = x - coordinate of centre of circle}$

• $\textsf{k = y - coordinate of centre of circle}$

• $\textsf{r = radius= 8}$

Since the circle is centered at origin, h = k = 0

$\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2}$

$\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64$

Answered by : ❝ AǫᴜᴀWɪᴢ ❞