Question

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

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.