# Search Results for “area-between-two-curves”

##### Maximum Area Triangle
The app uses a physical model to find the largest area triangle whose vertices lie on a smooth closed curve (defined by the red control points). The triangle defined by the tangent lines at the vertices is displayed, along with its medians. What do you notice about the maximum?

Tags: maximum-area

##### Area Under Sine (draggable)
Observe the definite integral of sine, or the area between the function sin(x) and the x axis, and how it changes between different bounds by dragging the boundaries, a and b. What happens to the area when the interval is 2Π? Why?

Tags: Calculus, Defininte-Integral, Sine, Draggable

By Duncan
##### Triangle Areas
Can you triangles with integer side lengths and integer area?

Tags: triangle, area

By Duncan
##### Focal Triangle
Create a triangle which has 3 points on the circumference of an ellipse, and two sides passing through the foci.  Look at 2 curves formed by the third side: the locus of its center and its envelope.  One is an ellipse, the other is not.

Tags: ellipse, focus

By Faith
##### Soda Cantastrophy
Download app to see the effects of changing radius and rate of change on the area.

Tags: circle, radius, circumfrance, rate-of-change, related-rates, draggable

##### Euclids Elements - Book 2 - Proposition 14
One of my favorite apps because it looks deceptively simple, but takes some really creative thinking. This app creates a square (in red) that has the same area as a given quadrilateral.

Tags: Euclid, Elements, Geometry, Square, Quadrilateral

By Duncan
##### Normal Distribution
Calculate the area under a normal distribution.

Tags: statistics, normal-distribution

##### Circle Involute
Find the area of grass accessible to a goat who is tethered to a circular silo.

Tags: Involute, Circle, Goat

##### Euclids Elements – Book 1 – Proposition 42
To construct, in a given rectilineal angle, a parallelogram equal to a given triangle. In other words, given angle D and triangle ABC (in blue), construct a parallelogram (in yellow) that has an equal area to triangle ABC.

Tags: Euclid, Elements, Geometry, Parallelogram, Triangle