Question

A circle that lies on the standard (x,y) , coordinate plane has its center at ,(8,-6) and passes through the orgin. what is the area of this circle in square coordinate units?

Answer 1

Area = 314 units^2

Explanation:

Use the points (8, -6) and (0,0) to find the radius. You can use the distance formula. But distance formula is derived from Pythagorean theorem. You can see on the graph, if you did a sketch that the triangle formed is a 6,8,10 Pythagorean triple. Any way you calculate it, you will find the radius is 10. Area of a circle is (pi)r^2.

A = pi × 10^2

A = pi × 100

A = 100pi

Area approximately = 100(3.14)

= 314 units^2