Area of a Circle Donut From Both Radii to Area (Equation)

Level 1

This math topic focuses on the calculation of the area of a "donut" shape within a circle using the radii of the internal and external circles. As a subset of Geometry, specifically Circle Area, Sectors and Donuts, it involves exercises where learners must find the area of the shaded region or "donut," given the outer and inner radius of the circles. This involves the application of the mathematical constant π (Pi) in determining the solution.

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

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Circle Donut From Both Radii to Area (Equation)

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Find the area (in terms of π) of the donut with outer radius 7 and inner radius 3

r=7r=3

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Area of a Circle Donut From Both Radii to Area (Equation) Worksheet

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Math worksheet on 'Area of a Circle Donut From Both Radii to Area (Equation) (Level 1)'. Part of a broader unit on 'Geometry - Circle Area, Sectors and Donuts - Intro' Learn online: app.mobius.academy/math/units/geometry_circles_sector_donut_area_logic_intro/
1
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 5 and inner radius 2
a A LaTex expression showing 39Pi
b A LaTex expression showing 15Pi
c A LaTex expression showing 21Pi
d A LaTex expression showing 37Pi
e A LaTex expression showing 25Pi
2
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 9 and inner radius 4
a A LaTex expression showing 95Pi
b A LaTex expression showing 29Pi
c A LaTex expression showing 71Pi
d A LaTex expression showing 65Pi
e A LaTex expression showing 11Pi
3
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 4 and inner radius 3
a A LaTex expression showing 7Pi
b A LaTex expression showing 4Pi
c A LaTex expression showing 14Pi
d A LaTex expression showing 1Pi
e A LaTex expression showing 9Pi
4
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 7 and inner radius 2
a A LaTex expression showing 9Pi
b A LaTex expression showing 5Pi
c A LaTex expression showing 13Pi
d A LaTex expression showing 45Pi
5
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 4 and inner radius 2
a A LaTex expression showing 8Pi
b A LaTex expression showing 7Pi
c A LaTex expression showing 12Pi
d A LaTex expression showing 4Pi
e A LaTex expression showing 10Pi
6
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 7 and inner radius 1
a A LaTex expression showing 48Pi
b A LaTex expression showing 40Pi
c A LaTex expression showing 60Pi
d A LaTex expression showing 84Pi
7
An svg image showing a math problem
Find the area (in terms of π) of the donut with outer radius 9 and inner radius 5
a A LaTex expression showing 26Pi
b A LaTex expression showing 6Pi
c A LaTex expression showing 76Pi
d A LaTex expression showing 21Pi
e A LaTex expression showing 56Pi