Math Clip Art--Composite Figures--Simple Composite Shapes: 09

Topic

Geometry Concepts

Description

This image shows an hourglass composite shape made up of two congruent equilateral triangles, next to two congruent circular sectors. This configuration is often used in artistic designs and educational contexts. This design also has a shape that looks somewhat elliptical.

To calculate the total area of this composite figure, we would add the areas of the two equilateral triangles (A = (√3/4)s² for each) to the areas of the two circular sectors (½r²θ for each, where θ is the central angle in radians). The perimeter would involve summing the lengths of all outer sides, excluding any shared edges.

This figure provides an excellent opportunity to discuss the properties of triangles and circles, including symmetry and curvature. It also demonstrates how combining these shapes can create more complex and visually interesting forms.

Teacher's Script: "Look at this hourglass shape. How would you calculate its total area and perimeter? What properties of equilateral triangles and circular sectors can you identify in this figure? Can you think of any real-world applications where a shape like this might be useful, perhaps in design or education?"

For a complete collection of math clip art related to Geometry click on this link: Math Clip Art: Geometry Concepts Collection.