Math Clip Art--Composite Figures--Simple Composite Shapes: 03

Topic

Geometry Concepts

Description

This image shows a composite shape consisting of an equilateral triangle and a semicircle. This combination is often found in architectural designs and artistic patterns.

To calculate the total area of this composite figure, we would add the area of the equilateral triangle (A = (√3/4)s²) to the area of the semicircle (½πr²). The perimeter would involve summing the lengths of the triangle's sides and the curved edge of the semicircle.

This figure provides an excellent opportunity to discuss the properties of equilateral 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 composite shape. How would you calculate its total area and perimeter? What properties of equilateral triangles and semicircles can you identify in this figure? Can you think of any real-world applications where a shape like this might be useful?"

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