Given a circumference of radius $$r = 10$$ cm and a point $$p$$, what position does the point $$p$$ have if its distance from the center of the circumference is:
- $$9$$ cm
- $$10$$ cm
- $$11$$ cm
See development and solution
Development:
Note: to resolve this exercise, it is very fortuitous to take paper and pencil and draw a picture of each case to see the solution clearly.
- as the distance from the center to the point is smaller than the diameter the point is interior to circumference.
- as the distance from the center to the point is equal to the diameter the point is on the circumference.
- as the distance from the center to the point is greater than the diameter the point is outside the circumference.
Solution:
- interior
- on the circumference
- exterior