Area of Composite Figures with Circles and Semicircles

What attribute is used to determine the area of subdivisions in a composite figure?

• Area

• Perimeter

• Volume

• Circumference

Tags

CCSS.3.MD.C.7D

How can the area of a composite plane figure be determined?

• By adding the areas of the subdivisions

• By subtracting the areas of the subdivisions

• By dividing the areas of the subdivisions

• By multiplying the perimeters of the subdivisions

Tags

CCSS.3.MD.C.7D

When solving contextual problems involving composite plane figures, what should be the final step?

• Subdividing the figure into known shapes

• Identifying the number of sides in the figure

• Finding the dimensions of the figure

• Calculating the area or perimeter of the entire figure

What formulas can be applied to solve problems involving composite plane figures?

• Diameter, radius, and area formulas

• Volume, surface area, and perimeter formulas

• Length, width, and height formulas

• Perimeter, circumference, and area formulas

In a composite figure, what is the purpose of subdividing the figure into known shapes?

• To simplify calculations

• To change the shape of the figure

• To increase the area of the figure

• To decrease the perimeter of the figure

Tags

CCSS.3.MD.C.7D

A rectangle, a triangle, and two congruent semicircles were used to form the figure shown.

Which measurement is closest to the area of the figure rounded to the nearest whole number?

(a)  

A model of a rectangular stove top with four circular burners is shown. The side lengths of the stove top and the diameters of the burners are labeled.

Which measurement is the best estimate of the area in square inches of the stove top that does not include the area of the burners?

(a)  

What is the area of the yellow?

• 78.5 mi²

• 19.625 mi²

• 39.25 mi²

• 31.4 mi²

Tags

CCSS.HSG.C.B.5

Find the area of the composite figure.

• 100

• 178.5

• 139.25

• 175

A rectangular piece of paper with length 28 cm and width 12 cm has two semicircles cut out of it, as shown. Find the area of the paper that remains. Use the value 3.14 for π, and do not round your answer.