Question

Write the equation of each circle

(a) center at origin, radius \sqrt{10}

Answer 1

x² + y² = 10

Explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

here (h, k ) = (0, 0 ) and r =
`√(10)` , then

(x - 0)² + (y - 0)² = (
`√(10)` )² , that is

x² + y² = 10