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Chess Tournament: Circle Specifications

Apply circle area and circumference formulas to chess tournament designs, then explain the connection between the formulas.

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 calculate circle areas and circumferences from radii, diameters, and boundary lengths.
Students use circle measurements to solve tournament design and material problems.
Students explain informally why a circle's area equals half its circumference times its radius.

How to use

Use after introducing circle formulas. Allow a calculator, require students to show their setup on separate paper, and discuss the final explanation.

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

Chess Tournament: Circle Specifications

Use circle measurements to plan rating badges, awards, and tournament displays.

Rating Badge Specifications

Use π = 3.14 for numerical calculations. Do not round unless a question asks you to. All badges are circles; rating labels identify divisions, not measurements.

The chess club prints each player's rating inside a circular badge. A badge has diameter d. Which pair of formulas gives its circumference C and area A?