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Circle and Composite Areas

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Circle and Composite Areas worksheet preview

Circle and Composite Areas

Circle and composite shapes illustration

🎯 Part 1: Circle Formulas and Applications

1. A circular clock face has a radius of 6 inches. What is its circumference? (Use π = 3.14)

18.84 inches

37.68 inches

113.04 inches

12 inches

2. A semicircular garden has a diameter of 14 feet. What is the area of the semicircle? (Use π = 3.14)

Area = _____________ square feet

3. Which formulas are correct for circles? (Check all that apply)

Circumference = 2πr

Area = πr²

Circumference = πd

Area = 2πr

4. A quarter circle has a radius of 8 cm. Convert this measurement to inches. (1 inch = 2.54 cm)

Radius = _____________ inches

🏗️ Part 2: Composite Figure Areas

5. A playground design consists of a rectangle (20 ft × 12 ft) with a semicircle attached to one of the shorter sides (diameter = 12 ft). Find the total area.

Step 1 - Rectangle area: _____________

Step 2 - Semicircle area: _____________

Total area: _____________ square feet

6. Describe your strategy for finding the area of a composite figure made of multiple shapes:
7. A sports field design includes a rectangular field (100 ft × 60 ft) with quarter circles in each corner (radius = 10 ft). What is the total area?

Total area = _____________ square feet

🎨 Part 3: Creative Application

8. Design your own composite figure playground in the space below. Include at least one circle, semicircle, or quarter circle combined with rectangles or triangles. Label all dimensions.
9. Calculate the total area of your playground design. Show your work:

My playground area = _____________ square units

10. Explain how understanding π helps you solve real-world problems involving circles:

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