This math topic focuses on calculating the diameter of a circle from its given area using the value of Pi (π). It incorporates multiple-choice questions where students must apply the formula for the area of a circle \(A = \pi r^2\) to solve for the diameter, using derived expressions involving square roots and π. The problems are structured to reinforce understanding of basic circle geometry and algebraic manipulation involving π, suitable for introducing the concepts of circle area and circumference. Each question presents a different area, requiring recalculations and conversion between the radius and diameter.

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 Diameter (Pi Value) Worksheet

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Math worksheet on 'Area of a Circle - Area and Image to Diameter (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
If the area of this circle is 8, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=8 times square root of 2 over Pi
b A LaTex expression showing d=square root of 2 times Pi over 8
c A LaTex expression showing d=2 times square root of 8 over 2 times Pi
d A LaTex expression showing d=2 times square root of 8 over Pi
2
If the area of this circle is 6, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=2 times square root of 6 over Pi
b A LaTex expression showing d=2 times square root of 6 over 2 times Pi
c A LaTex expression showing d=6 times square root of 2 over Pi
d A LaTex expression showing d=square root of 2 times Pi over 6
3
If the area of this circle is 5, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=square root of 2 times Pi over 5
b A LaTex expression showing d=5 times square root of 2 over Pi
c A LaTex expression showing d=2 times square root of 5 over 2 times Pi
d A LaTex expression showing d=2 times square root of 5 over Pi
4
If the area of this circle is 9, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=9 times square root of 2 over Pi
b A LaTex expression showing d=2 times square root of 9 over Pi
c A LaTex expression showing d=2 times square root of 9 over 2 times Pi
d A LaTex expression showing d=square root of 2 times Pi over 9
5
If the area of this circle is 7, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=2 times square root of 7 over 2 times Pi
b A LaTex expression showing d=7 times square root of 2 over Pi
c A LaTex expression showing d=2 times square root of 7 over Pi
d A LaTex expression showing d=square root of 2 times Pi over 7
6
If the area of this circle is 9, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=2 times square root of 9 over 2 times Pi
b A LaTex expression showing d=2 times square root of 9 over Pi
c A LaTex expression showing d=9 times square root of 2 over Pi
d A LaTex expression showing d=square root of 2 times Pi over 9
7
If the area of this circle is 3, what it its diameter?
An svg image showing a math problem
a A LaTex expression showing d=3 times square root of 2 over Pi
b A LaTex expression showing d=2 times square root of 3 over 2 times Pi
c A LaTex expression showing d=2 times square root of 3 over Pi
d A LaTex expression showing d=square root of 2 times Pi over 3