Angles in a Circle
Investigate how the location of an angle’s vertex affects its relationship to the measure(s) of the arc(s) it intercepts.
Author Archive for: corrill
Entries by InterMath
Maximal Volume of a Cone
Determine the sector of a circle that will produce a cone with maximum volume.
Changes in the Circumference
Explore how changing the diameter of a circle affects its circumference.
Tangent Along the Diameter
Find a relationship between the area of a circle and the areas of the tangent circles along the circle’s diameter.
Equal Areas
Construct a circle with five equal regions that do not intersect at the circle’s center.
Tangential Circles
Compare the area and circumference of a circle inscribed in a region between two intersecting circles.
Medians of a Triangle
Determine the relationship between the coordinates of the vertices of a triangle and its centroid.
Equation of a Circle
Find the equation of a circle based on its radius and locus of coordinates.
The Slope of a Curve
Explore the variability of the slope of a curve on small intervals.
X-Intercept Transformations
Identify the change in the x-intercepts of a function when you reverse its leading coefficient and constant term.