A circle has area 4π cm². Find its diameter.
Show reasoning / computation: __________________________________________
CCSS 7.G.B.4 · area, circumference, radius & diameter
Circle Area and Circumference Worksheet Generator
Practice the relationship among radius, diameter, circumference, and area. Use exact π mode when symbolic answers are preferred or switch to π ≈ 3.14 for decimal computation practice.
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Circle Area & Circumference
Diagrams are part of the problem data, not decorative assets. Student pages keep solution-specific marks hidden; reveal answers or use the separate PDF key to check work.
Problem 1
Problem 2
A circle has radius 9 cm. Find both circumference and area using π exactly.
Show reasoning / computation: __________________________________________
Problem 3
A circle has area 16π cm². Find its diameter.
Show reasoning / computation: __________________________________________
Problem 4
A circle has circumference 16π cm. Find its radius.
Show reasoning / computation: __________________________________________
Problem 5
A circle has radius 5 cm. Find its area using π exactly.
Show reasoning / computation: __________________________________________
Problem 6
A circle has area 64π cm². Find its diameter.
Show reasoning / computation: __________________________________________
Problem 7
A circle has radius 4 cm. Find both circumference and area using π exactly.
Show reasoning / computation: __________________________________________
Problem 8
A circle has radius 6 cm. Find its area using π exactly.
Show reasoning / computation: __________________________________________
Teaching note 1
Diameter is twice the radius before any circle formula is applied.
Teaching note 2
Circumference uses a linear measure; area uses square units.
Teaching note 3
Do not round early. When π ≈ 3.14 is selected, the generator computes from the exact integer radius first.
Continue the 7.G progression
Move to another Grade 7 geometry skill
Frequently asked questions
Can I choose exact π answers?
Yes. The generator has an exact π mode and a π ≈ 3.14 mode.
Do challenge sets include reverse problems?
Yes. Standard and challenge sets can ask for a missing radius from circumference or a missing diameter from area.