This math topic focuses on determining the radius of a circle given its area, incorporating the use of the mathematical constant π (Pi). The skill practiced is solving the formula for the area of a circle, \(A = \pi r^2\), to find the radius \(r\) when the area \(A\) is known. This involves algebraic manipulation, primarily taking the square root and dividing by Pi. Each question provides an area value and multiple choice answers for the radius, requiring the learner to perform calculations involving squaring, square roots, and Pi. This contributes to a broader understanding of geometric relationships within circles.

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 Image to Radius (Pi Value) Worksheet

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Math worksheet on 'Area of a Circle - Area and Image to Radius (Pi Value) (Level 1)'. Part of a broader unit on 'Geometry - Circle Partial Area and Circumference - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_partial_perimeter_area_intro/
1
An svg image showing a math problem
If the area of this circle is 6, what it its radius?
a A LaTex expression showing r=6 times square root of 2 over Pi
b A LaTex expression showing r=square root of 2 times Pi over 6
c A LaTex expression showing r=square root of 6 over Pi
d A LaTex expression showing r=square root of 6 over 2 times Pi
2
An svg image showing a math problem
If the area of this circle is 4, what it its radius?
a A LaTex expression showing r=4 times square root of 2 over Pi
b A LaTex expression showing r=square root of 4 over Pi
c A LaTex expression showing r=square root of 2 times Pi over 4
d A LaTex expression showing r=square root of 4 over 2 times Pi
3
An svg image showing a math problem
If the area of this circle is 2, what it its radius?
a A LaTex expression showing r=2 times square root of 2 over Pi
b A LaTex expression showing r=square root of 2 over Pi
c A LaTex expression showing r=square root of 2 times Pi over 2
d A LaTex expression showing r=square root of 2 over 2 times Pi
4
An svg image showing a math problem
If the area of this circle is 8, what it its radius?
a A LaTex expression showing r=8 times square root of 2 over Pi
b A LaTex expression showing r=square root of 2 times Pi over 8
c A LaTex expression showing r=square root of 8 over 2 times Pi
d A LaTex expression showing r=square root of 8 over Pi
5
An svg image showing a math problem
If the area of this circle is 3, what it its radius?
a A LaTex expression showing r=square root of 3 over 2 times Pi
b A LaTex expression showing r=3 times square root of 2 over Pi
c A LaTex expression showing r=square root of 3 over Pi
d A LaTex expression showing r=square root of 2 times Pi over 3
6
An svg image showing a math problem
If the area of this circle is 10, what it its radius?
a A LaTex expression showing r=10 times square root of 2 over Pi
b A LaTex expression showing r=square root of 10 over Pi
c A LaTex expression showing r=square root of 2 times Pi over 10
d A LaTex expression showing r=square root of 10 over 2 times Pi
7
An svg image showing a math problem
If the area of this circle is 2, what it its radius?
a A LaTex expression showing r=square root of 2 over Pi
b A LaTex expression showing r=square root of 2 times Pi over 2
c A LaTex expression showing r=square root of 2 over 2 times Pi
d A LaTex expression showing r=2 times square root of 2 over Pi