This topic focuses on calculating the diameter of a circle given its area, employing the formula for the area of a circle with respect to Pi. It covers basic to intermediate problem-solving skills in geometry, specifically dealing with circle properties, involving algebraic manipulation to solve for the diameter when the area is known. The exercises are designed to reinforce understanding of the relationships between circle area, diameter, and Pi, and practice algebraic skills to isolate and solve for variables.

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 Diameter (Pi Value) Worksheet

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Math worksheet on 'Area of a Circle - Area and Equation 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 5, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 5=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=2 times square root of 5 over 2 times Pi
b A LaTex expression showing d=2 times square root of 5 over Pi
c A LaTex expression showing d=square root of 2 times Pi over 5
d A LaTex expression showing d=5 times square root of 2 over Pi
2
If the area of this circle is 2, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 2=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=2 times square root of 2 over Pi
b A LaTex expression showing d=square root of 2 times Pi over 2
c A LaTex expression showing d=2 times square root of 2 over 2 times Pi
3
If the area of this circle is 10, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 10=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=10 times square root of 2 over Pi
b A LaTex expression showing d=2 times square root of 10 over 2 times Pi
c A LaTex expression showing d=2 times square root of 10 over Pi
d A LaTex expression showing d=square root of 2 times Pi over 10
4
If the area of this circle is 7, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 7=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=2 times square root of 7 over 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 2 times Pi
d A LaTex expression showing d=square root of 2 times Pi over 7
5
If the area of this circle is 8, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 8=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=2 times square root of 8 over 2 times Pi
b A LaTex expression showing d=square root of 2 times Pi over 8
c A LaTex expression showing d=8 times square root of 2 over Pi
d A LaTex expression showing d=2 times square root of 8 over Pi
6
If the area of this circle is 9, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 9=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=square root of 2 times Pi over 9
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=2 times square root of 9 over 2 times Pi
7
If the area of this circle is 4, what it its diameter?
A LaTex expression showing A=Pi times (d over 2 ) to the power of 2 \\ 4=Pi times (d over 2 ) to the power of 2
a A LaTex expression showing d=4 times square root of 2 over Pi
b A LaTex expression showing d=2 times square root of 4 over 2 times Pi
c A LaTex expression showing d=square root of 2 times Pi over 4
d A LaTex expression showing d=2 times square root of 4 over Pi