Area of Composite Figures with Circles

Area of Composite Figures with Circles

Let's Review

Multiple Choice

What does area mean?

• the distance around a shape

• half the distance around a shape

• the amount of space outside a shape

• the amount of space inside a shape

Multiple Choice

Find the area of the composite figure

• 40

• 9

• 49

• 61

Multiple Choice

What is the area of the shaded region?

• 14 m²

• 120 m²

• 106 m²

• 134 m²

Multiple Choice

What is the radius of this circle?

• 18
• 10
• 9
• 8

Multiple Choice

What is the areas of this figure? 

• 54 cm²

• 45 cm²

• 63 cm²

• 36 cm²

Multiple Choice

What is the formula for the area of a triangle?

• A = 1/2 bh

• A = bh

• A = s + s + s

What is a Composite Figure?​

​It’s a figure that is divided into more than one of the basic shapes. We often refer to these figures as Irregular figures

Section 1:

Shape inside a Shape​-You will be finding the area of just “part” of a figure. A lot of times the math problem will refer to this area as the shaded region

Step 1: ​ Identify the Figures in the composite figure

Step 2: ​ Find the area of each figure

Step 3: ​ Subtract smaller area from bigger area

Fill in the Blank

You Try #1: A circular garden is surrounded by a cement path as shown in the following diagram. What is the area of the cement path?

Section 2:​

​Shapes that Connect –You will be finding the area of the “total” figure.

Step 1: ​Draw lines to separate figure into common figures

Step 2: ​Find the area of each figure

Step 3: ​Add the area of each figure

Subject | Subject

Fill in the Blank

You Try #2 Find the total area.

Multiple Choice

The diagram shows the spot on a basketball court called the “key”. What is the area of the key? Use 3.14 for $$\pi$$ .

• 284.52 ft2

• 228 ft2

• 317 ft2

• 116.71 ft2

Multiple Choice

Find the area of the shaded region.

• 70 cm²

• 12 cm²

• 82 cm²

• 57 cm²

Multiple Choice

What is the area of this figure?

• 14 square cm

• 20.3 square cm

• 26.3 square cm

• 33.2 square cm