Calculating Areas of Composite Figures with Semicircles

The video tutorial explains how to calculate the area of composite shapes, including those made up of triangles and semicircles. It demonstrates the process of adding and subtracting areas to find the total area of a figure. The tutorial also covers how to handle shapes with holes by subtracting the areas of missing parts, such as squares and semicircles, from the total area of a rectangle.

How do you find the area of composite shapes?

• By using the Pythagorean theorem

• By dividing the area of the larger shape by the smaller

• By adding or subtracting the areas of individual shapes

• By multiplying the areas of individual shapes

What is the formula to calculate the area of a triangle?

• Base plus height

• Pi times radius squared

• Length times width

• 1/2 times base times height

Tags

CCSS.6.G.A.1

How do you find the area of a semicircle?

• Base times height divided by 2

• Radius squared times height

• Pi times diameter squared

• Pi times radius squared divided by 2

Tags

CCSS.7.G.B.4

What is the first step in finding the area of a composite shape with a hole?

• Calculate the area of the outer shape

• Multiply the areas of the shapes

• Add the areas of all shapes involved

• Subtract the area of the hole first

Tags

CCSS.3.MD.C.7D

How do you calculate the area of a rectangle?

• Pi times radius squared

• Base times height

• Length plus width

• 1/2 times base times height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

What formula is used to find the area of a square?

• Side times side

• Length plus width

• Pi times diameter squared

• Base times height

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How is the radius of a semicircle determined when given the diameter?

• By dividing the diameter by 2

• By adding pi to the diameter

• By squaring the diameter

• By multiplying the diameter by 2

Tags

CCSS.7.G.B.4

What step is crucial when calculating the area of a semicircle?

• Adding pi to the area

• Dividing the circle's area by 2

• Multiplying the result by 2

• Subtracting the radius from the area

Tags

CCSS.7.G.B.4

What do you do after calculating the total area of the outer shape in a composite figure with a hole?

• Divide by the number of shapes

• Multiply by the number of holes

• Subtract the areas of the holes

• Add the areas of the holes

Tags

CCSS.3.MD.C.7D

What is the final step in finding the area of a composite shape with a hole?

• Adding the area of the outer shape to the holes

• Dividing the outer shape area by the holes

• Subtracting the area of the holes from the outer shape

• Multiplying the outer shape area by the holes

Tags

CCSS.3.MD.C.7D