Now let's explore the circle on the coordinate plane. |
When a circle is positioned on the coordinate plane, the distance between the centre and a point on the circle can be calculated. This distance is called the radius of the circle. |
You calculate this distance using the Distance Formula. |
The distance formula is:
d = |
Ö | _________________ (x2 - x1)2 + (y2 - y1)2 |
= [(x2 - x1)2 + (y2 - y1)2]½
|
where d is the distance between any two points (x1, y1) and (x2, y2) in the plane. |
How is the Distance Formula related to the Pythagorean Theorem? |
Follow the steps in the questions below to calculate the radius of a circle centred at P that goes through the point Q, and then construct this circle. |