Practice Interior vs Exterior in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Interior consists of points strictly inside a boundary; exterior consists of points strictly outside the boundary.
A closed fence divides the world into two zones: the yard inside and everything else outside. Any closed curve does the same—splitting the plane into an interior region and an exterior region.
Example 1
easyA circle is drawn on a piece of paper. Point A is 3 cm from the center and the radius is 5 cm. Point B is 7 cm from the center. Which point is interior and which is exterior?
Example 2
mediumA rectangle has vertices at (0,0), (4,0), (4,3), and (0,3). Determine whether the point (2, 1.5) is interior, exterior, or on the boundary of the rectangle.
Example 3
easyA triangle is drawn on paper. Point P is inside the triangle and point Q is outside. If you draw a straight line from P to Q, how many times must it cross the boundary of the triangle?
Example 4
hardA point P = (3, 2) and a circle centered at (1, 1) with radius r = 3. Is P interior or exterior to the circle? Show your work using the distance formula.