Question

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

the equation of the circle?

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 ❞