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

b

step-by-step explanation:

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