Answer:
x² + y² = 144
Step-by-step explanation:
The general equation of a circle is given as
(x - a)² + (y-b)² = r²
where a and b are the center of the circle along the x and y axis respectively and r is the radius of the circle.
Hence a circle that has its center at the origin and has a diameter of 24 units, we can deduce that the values of a,b are 0,0. Also,
radius = diameter/2
= 24/2
= 12 units
Hence the standard equation of the circle
(x - 0)² + (y - 0)² = 12²
x² + y² = 144
