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

This math topic focuses on calculating the diameter of a circle based on its area, which is given as equations involving the circle's radius. Each problem presents an equation, and the learner must determine the correct diameter from multiple choices. This set of problems is designed to strengthen understanding of the relationship between a circle's area, radius, and diameter, foundational concepts in geometry related to circles.

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

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Circle - Equation to Diameter

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

π⋅(82)2\pi \cdot (\frac{8}{2})^2

Area of a Circle - Equation to Diameter Worksheet

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Math worksheet on 'Area of a Circle - Equation to Diameter (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 (18 over 2 ) to the power of 2
a
d = 15
b
d = 18
c
d = 14
d
d = 13
e
d = 19
f
d = 21
2
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times (6 over 2 ) to the power of 2
a
d = 1
b
d = 9
c
d = 6
d
d = 10
e
d = 4
f
d = 3
3
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times (16 over 2 ) to the power of 2
a
d = 16
b
d = 11
c
d = 12
d
d = 15
e
d = 19
f
d = 20
4
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times (14 over 2 ) to the power of 2
a
d = 18
b
d = 11
c
d = 17
d
d = 16
e
d = 13
f
d = 14
5
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times (20 over 2 ) to the power of 2
a
d = 24
b
d = 23
c
d = 18
d
d = 20
e
d = 19
f
d = 22
6
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times (10 over 2 ) to the power of 2
a
d = 10
b
d = 7
c
d = 12
d
d = 14
e
d = 11
f
d = 5
7
Given this equation for the area, what is the diameter of this circle
A LaTex expression showing Pi times (12 over 2 ) to the power of 2
a
d = 11
b
d = 15
c
d = 14
d
d = 9
e
d = 16
f
d = 12