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

This math topic focuses on calculating the area of a circle using the given diameter. It is designed to help students form equations for the circle's area based on its diameter, transitioning from direct measurements to algebraic expressions involving pi. The problems are structured to enhance understanding of circle geometry, particularly applying the formula for the area of a circle (πr²) through various scenarios and diameters, requiring students to calculate radii and substitute values correctly into the formula.

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

View Unit

Circle - Diameter to Equation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Find the equation that represents the area of this circle

4

Area of a Circle - Diameter to Equation Worksheet

Mobius Math Club logo
Math worksheet on 'Area of a Circle - Diameter to Equation (Level 1)'. Part of a broader unit on 'Geometry - Circle Area - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_area_intro/
1
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi over 16
b A LaTex expression showing Pi over 5
c A LaTex expression showing Pi times 12 to the power of 2
d A LaTex expression showing Pi times (8 over 2 ) to the power of 2
2
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi times (15 over 2 ) to the power of 2
b A LaTex expression showing Pi over 18
c A LaTex expression showing Pi over 16
d A LaTex expression showing Pi times 18
e A LaTex expression showing Pi times (18 over 2 ) to the power of 2
3
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi over 12
b A LaTex expression showing Pi over 6
c A LaTex expression showing Pi times 6 to the power of 2
d A LaTex expression showing Pi times 12
e A LaTex expression showing Pi times (6 over 2 ) to the power of 2
4
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi over 20
b A LaTex expression showing Pi times 20 to the power of 2
c A LaTex expression showing Pi times 20
d A LaTex expression showing Pi times (10 over 2 ) to the power of 2
e A LaTex expression showing Pi times 6
5
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi times (18 over 2 ) to the power of 2
b A LaTex expression showing Pi times (20 over 2 ) to the power of 2
c A LaTex expression showing Pi times 21
d A LaTex expression showing Pi times (22 over 2 ) to the power of 2
e A LaTex expression showing Pi times 22
6
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi times (8 over 2 ) to the power of 2
b A LaTex expression showing Pi times 8 to the power of 2
c A LaTex expression showing Pi times 12 to the power of 2
d A LaTex expression showing Pi times (6 over 2 ) to the power of 2
e A LaTex expression showing Pi over 8
7
An svg image showing a math problem
Find the equation that represents the area of this circle
a A LaTex expression showing Pi over 8
b A LaTex expression showing Pi times (4 over 2 ) to the power of 2
c A LaTex expression showing Pi times 0 to the power of 2
d A LaTex expression showing Pi times (1 over 2 ) to the power of 2
e A LaTex expression showing Pi times 4 to the power of 2