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Round Stages and Seat Sales worksheet preview

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Round Stages and Seat Sales

Apply circle area and circumference formulas to theater sets and seating, then explain how the two formulas are related.

Grade 7MathInteractive · Printable

Aligned to7.G.B.4

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Short answer

About this worksheet

What students practice

  • Students use circle area and circumference formulas to solve set-building and seating problems.
  • Students distinguish radius from diameter and find missing circle measurements.
  • Students explain how rearranging circle sectors connects circumference to area.

How to use

Allow a calculator and have students show their setup on scratch paper. Use the final explanation to discuss why the area formula involves half the circumference.

Curriculum

Common Core standard covered

7.G.B.4

Know and use the formulas for the area and circumference of a circle, and informally explain how they are related.

Preview

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Name Date

Round Stages and Seat Sales

Use circle measurements to plan a theater club production.

Set Measurements

Use π = 3.14 throughout this worksheet. Do not round unless a question tells you to. Show your calculations on scratch paper.

1.
The club needs trim around a circular set piece and paint for its front face. Which pair of formulas gives circumference C and area A when the radius is r?
  • A. C = πr; A = πr²
  • B. C = 2πr; A = πr²
  • C. C = πr²; A = 2πr
  • D. C = 2πr²; A = πr
2.
A circular platform has a radius of 3 m. Trim will cover its entire outside edge.

How much trim is needed?   m

3.
The club will paint the entire top of the circular platform from Question 2. Its radius is 3 m.

What area will be painted?   m²

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