Question

# Troy drew the diagram below. The inner circle has a

Circles
Troy drew the diagram below. The inner circle has a radius of 2 units, and three outer circle radius of 5 units. Troy says the two circles are similar. Which statement best explains wether Troy is correct, and why?

2021-08-17
Step 1
A circle is a special type of ellipse in which both the focal points are same. A circle is 2-D shape with a constant radius, i.e. all the points on the circumference of the circle is at a constant distance from the center and this distance is knows as the radius.
A cardioid is a plane curve traced by a point on the perimeter of a circle that is rolling around a fixed circle of the same radius.
Step 2
As both the circles have different radius, one has a radius of 2 units while the other has a radius of 5 units.
As per the rules of similarity, both the circles need to have the same radius length in order to be similar to each other.
Hence, Troy is not correct as the inner circle's radius is less than the radius of the outer circle.