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Area of a Circle - Equation to Diameter - Squared Values (Level 1)

This math topic focuses on calculating the diameter of a circle given its area, expressed in terms of π (pi) times a squared value. The problems require understanding the formula for the area of a circle (A = πr^2) and manipulating it to solve for the circle’s diameter. Questions are presented with multiple-choice answers, testing the ability to reverse-engineer the area equation to derive the diameter. This requires basic algebraic skills and a grasp of geometric principles concerning circles, enhancing students' ability to apply theoretical knowledge practically.

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

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Circle - Equation to Diameter - Squared Values

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Given this equation for the area, what is the diameter of this circle

π64\pi \cdot 64

Area of a Circle - Equation to Diameter - Squared Values Worksheet

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Math worksheet on 'Area of a Circle - Equation to Diameter - Squared Values (Level 1)'. Part of a broader unit on 'Geometry - Circle Area - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_area_intro/
1
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 4
a
d = 1
b
d = 4
c
d = 5
d
d = 0
e
d = 6
f
d = 7
2
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 64
a
d = 16
b
d = 14
c
d = 13
d
d = 19
e
d = 15
f
d = 11
3
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 36
a
d = 7
b
d = 16
c
d = 14
d
d = 9
e
d = 11
f
d = 12
4
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 16
a
d = 12
b
d = 6
c
d = 9
d
d = 10
e
d = 5
f
d = 8
5
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 9
a
d = 8
b
d = 7
c
d = 5
d
d = 6
e
d = 3
f
d = 9
6
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 49
a
d = 17
b
d = 10
c
d = 12
d
d = 13
e
d = 14
f
d = 16
7
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times 25
a
d = 8
b
d = 5
c
d = 11
d
d = 6
e
d = 7
f
d = 10