A circle has its center at the origin and has a diameter of 24 units.

What is the standard equation of the circle?

Question 2 options:

x2+y2=242

x2-y2=122

x2-y2=242

x2+y2=122

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