Question

Graph circles A and B on a coordinate plane:

Answer 1

We know that:

• Equation of circle: (x – h)² + (y – v)² = r²

Let's plot the circles one by one.

Circle A:

Finding x and y:

• (x,y) = (0,0)
• ⇒ x = 0, y = 0

Substitute the radius and the coordinates in the equation:

• (x – h)² + (y – v)² = r²
• (0 – h)² + (0 – v)² = 6²

Plot the equation on the graph to obtain circle A.

~Refer to attachment #1~

Circle B:

Finding x and y:

• (x,y) = (-4,-2)
• ⇒ x = -4, y = -2

Substitute the radius and the coordinates in the equation:

• (x – h)² + (y – v)² = r²
• (-4 – h)² + (-2 – v)² = 4²

Plot the equation on the graph to obtain circle B.

~Refer to attachment #2~

Answer 2

How to draw a circle: place the needle of your compass at the centre coordinate. Then extend the pencil tip to the given length of the radius

If you follow these steps, you will get the following graphs:

• the first image or the red circle is Circle A
• the second image or the blue circle is Circle B

Hope it helps!