Question

This circle is centered at the origin, and the length of its radius iS 6. What is

the circle's equation?

Answer 1

`\sf{\qquad\qquad\huge\underline{{\sf Answer}}}`

The equation of circle in standard form can be represented as :

`\qquad \sf  \dashrightarrow \:(x - h) {}^(2) + (y - k) {}^(2) = r {}^(2)`

where,

• h = x - coordinate of centre = 0

• k = y - coordinate of centre = 0

• r = radius of circle = 6 units

now, let's plug in the values :

`\qquad \sf  \dashrightarrow \:(x - 0) {}^(2) + (y - 0) {}^(2) = 6 {}^(2)`

`\qquad \sf  \dashrightarrow \: {x}^(2) + {y}^(2) = 36`

That's the required equation of circle.