Finding Areas of Composite Figures

The video tutorial covers the basics of finding the area of composite figures and shaded regions. It begins with an introduction to composite figures, explaining how to calculate their area by summing the areas of individual shapes. An example using a snow cone, composed of a triangle and half a circle, is provided to illustrate the process. The tutorial then shifts to shaded figures, demonstrating how to find the area of a shaded region by subtracting the area of non-shaded parts. The video concludes with tips for handling various shapes in composite and shaded figures.

What is the first step in finding the area of a composite figure?

• Divide the total area by the number of shapes

• Subtract the smallest area from the largest

• Add the areas of individual shapes

• Multiply the dimensions of all shapes

In the snow cone example, what shapes make up the composite figure?

• Two triangles

• A rectangle and a circle

• A square and a semicircle

• A triangle and half a circle

How do you calculate the area of a triangle?

• Base minus height

• Base plus height

• Half of base times height

• Base times height

What is the base of the triangle in the snow cone example?

• 8

• 6

• 10

• 12

What is the height of the triangle in the snow cone example?

• 12

• 8

• 6

• 10

What is the area of the triangle in the snow cone example?

• 20 cm²

• 40 cm²

• 30 cm²

• 50 cm²

What is the formula for the area of a circle?

• Pi times diameter squared

• Pi times diameter

• Pi times radius squared

• Pi times radius times diameter

How do you calculate the area of a half-circle?

• Pi times radius squared

• Half of pi times radius squared

• Pi times diameter

• Half of pi times diameter

What is the radius of the circle in the snow cone example?

• 9

• 3

• 12

• 6

What is the area of the full circle in the snow cone example?

• 12π cm²

• 6π cm²

• 15π cm²

• 9π cm²