Area of a Circle - Area and Equation to Radius (Pi Value)

Level 1

This math topic focuses on calculating the radius of a circle given its area. Each problem presents a different area, and students must rearrange the area formula, \( A = \pi r^2 \), to solve for the radius \( r \), showing an application of algebraic manipulation and understanding circle geometry. The students are given multiple choice options for each problem. This is part of a broader introduction to circle geometry, covering concepts like circle areas and circumferences.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Area of a Circle - Area and Equation to Radius (Pi Value) Worksheet

Area of a Circle - Area and Equation to Radius (Pi Value)

If the area of this circle is 2, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 2=Pi times r to the power of 2$

A LaTex expression showing r=2 times square root of 2 over Pi

A LaTex expression showing r=square root of 2 over 2 times Pi

A LaTex expression showing r=square root of 2 times Pi over 2

A LaTex expression showing r=square root of 2 over Pi

If the area of this circle is 6, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 6=Pi times r to the power of 2$

A LaTex expression showing r=6 times square root of 2 over Pi

A LaTex expression showing r=square root of 2 times Pi over 6

A LaTex expression showing r=square root of 6 over 2 times Pi

A LaTex expression showing r=square root of 6 over Pi

If the area of this circle is 8, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 8=Pi times r to the power of 2$

A LaTex expression showing r=8 times square root of 2 over Pi

A LaTex expression showing r=square root of 8 over 2 times Pi

A LaTex expression showing r=square root of 8 over Pi

A LaTex expression showing r=square root of 2 times Pi over 8

If the area of this circle is 5, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 5=Pi times r to the power of 2$

A LaTex expression showing r=square root of 5 over Pi

A LaTex expression showing r=square root of 5 over 2 times Pi

A LaTex expression showing r=5 times square root of 2 over Pi

A LaTex expression showing r=square root of 2 times Pi over 5

If the area of this circle is 3, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 3=Pi times r to the power of 2$

A LaTex expression showing r=square root of 3 over 2 times Pi

A LaTex expression showing r=square root of 3 over Pi

A LaTex expression showing r=3 times square root of 2 over Pi

A LaTex expression showing r=square root of 2 times Pi over 3

If the area of this circle is 9, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 9=Pi times r to the power of 2$

A LaTex expression showing r=square root of 2 times Pi over 9

A LaTex expression showing r=square root of 9 over 2 times Pi

A LaTex expression showing r=square root of 9 over Pi

A LaTex expression showing r=9 times square root of 2 over Pi

If the area of this circle is 10, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 10=Pi times r to the power of 2$

A LaTex expression showing r=square root of 10 over 2 times Pi

A LaTex expression showing r=10 times square root of 2 over Pi

A LaTex expression showing r=square root of 10 over Pi

A LaTex expression showing r=square root of 2 times Pi over 10

If the area of this circle is 7, what it its radius?

$A LaTex expression showing A=Pi times r to the power of 2 \\ 7=Pi times r to the power of 2$

A LaTex expression showing r=square root of 2 times Pi over 7

A LaTex expression showing r=square root of 7 over Pi

A LaTex expression showing r=7 times square root of 2 over Pi

A LaTex expression showing r=square root of 7 over 2 times Pi