Squaring with Squares
Draw area connections to the Pythagorean Theorem.
Author Archive for: corrill
Entries by InterMath
Capture the Flag
Locate the best starting position in a game of capture the flag.
Find the Hidden Treasure
Determine a shortcut to find a treasure inside of a triangle.
Circles & Triangles
Find the relationship between the circumradius of a triangle and the radii of the circles that pass through the triangle’s vertices.
Intersecting Circles
Examine the relationship between two secants that pass through the intersections of two circles.
Circling the Coordinate Plane
Given coordinates of the endpoints of a circle’s diameter, find the circle’s area.
Equation of a Circle
Find the equation of a circle based on its radius, center, and locus of points.
Intersecting Chords
Determine a relationship between segments formed by the intersection of two chords of a circle.
Optimizing Triangles Using Radii
Find the triangles with maximum and minimum area if two sides of the triangle are determined by radii of the circle.
Area of a Sector
Determine a relationship between the area of a circle’s sector and the radius and central angle of the circle, and between the arc length of a sector and the radius and central angle of the circle.