MathematicsFreePrintable
Circle and Composite Areas
A free mathematics worksheet ready for your classroom. Open in Kuraplan to grab the print-ready PDF, customize it for your students, or generate a fresh version in seconds.
Name:Date:
Circle and Composite Areas
Brianna, Hiroshi, and Wyatt are planning a school play set. Find circle and composite areas to help them choose materials. Use π = 3.14. Round decimal answers to the nearest hundredth. Show your calculations and include square units for area.
Circle Area and Circumference
Use the circle facts in the questions to make sensible material estimates.
1.A round spotlight cover has a radius of 4 feet. What is its area?
2.A circular stage platform has a diameter of 10 feet. How much trim is needed to go all the way around its edge?
3.The prop department makes a semicircular sign with a diameter of 12 inches. What is the area of the sign?
4.Choose every correct circle formula. Select all that apply.
- Area = πr²
- Circumference = 2πr
- Circumference = πd
- Area = 2πr
Composite Set Pieces
Break each design into familiar shapes. Add areas for pieces that are joined without overlap.
5.A backdrop is a rectangle 18 feet wide and 8 feet tall with a semicircle attached along its 18-foot top edge. Find the total area of the backdrop.
6.A flat stage panel is a 12-foot by 9-foot rectangle. A circular opening with a 2-foot radius is cut out of it. How much panel area remains?
7.A circular rug has a radius of 7 feet. A rectangular walkway measuring 4 feet by 7 feet is placed beside it, with no overlap. What is the combined area of the rug and walkway?
8.A round prop has a radius of 5 feet. Wyatt says its area is 31.4 square feet because he calculated 2 × 3.14 × 5. Is he correct? Explain the error and give the correct area.
9.Design a simple school-play set piece using a rectangle and one semicircle. Draw and label the dimensions, then write an expression for its total area. Choose dimensions that are whole numbers and make the semicircle's diameter equal to one rectangle side.
2 printable pages
Page 1
Page 2
About This Worksheet
Free in Kuraplan
Sign up free, grab the PDF, and customize it for your class.
Print-Ready
Formatted for standard paper. Clean layout, easy to read.
AI-Generated
Created with Kuraplan's AI, designed for real classroom use.
For Teachers & Parents
Use in classrooms, for homework, tutoring, or homeschool.
Need a custom version of this worksheet?
Kuraplan's AI generates custom worksheets in seconds — differentiated for every learner, aligned to your curriculum.
Generate Custom Worksheets — Free No credit card Curriculum-aligned Under 60 seconds
