Answered

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

Sagot :

AǫᴜᴀWɪᴢ

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \: x² + y² = 64[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Standard equation of circle is :

[tex]\qquad \tt \rightarrow \: (x - h) {}^{2} + (y - k) {}^{2} = {r}^{2} [/tex]

  • [tex] \textsf{h = x - coordinate of centre of circle} [/tex]

  • [tex] \textsf{k = y - coordinate of centre of circle} [/tex]

  • [tex] \textsf{r = radius= 8} [/tex]

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

[tex]\qquad \tt \rightarrow \: (x - 0) {}^{2} + (y - 0) {}^{2} = {8}^{2} [/tex]

[tex]\qquad \tt \rightarrow \: {x}^{2} + {y}^{2} = 64 [/tex]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

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