Area of a Circle Sector From Fraction to Area (Equation) (Level 1)

This math topic focuses on calculating the area of a circle's sector, expressed in terms of π. It tests understanding of the relationship between fractions of a whole circle and its corresponding sector area, requiring the use of the formula for the area of a circle sector. Each question provides the fraction of the circle covered by the sector and the radius length, and asks to solve for the area. The varieties of circle radii and sector proportions offer practice in applying the area formula under different scenarios, enhancing both theoretical understanding and computational skills in geometry.

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

View Unit

Circle Sector From Fraction to Area (Equation)

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


Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 6

r=6

Teaching Missing

Our teacher seems to have stepped out for the moment 😵‍💫

We're looking into the issue, and hope to have the teaching content fixed soon

Area of a Circle Sector From Fraction to Area (Equation) Worksheet

Mobius Math Club logo
Math worksheet on 'Area of a Circle Sector From Fraction 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 green shaded sector that covers 1/2 of the circle with radius 6
a A LaTex expression showing 23 over 4 Pi
b A LaTex expression showing 65 over 4 Pi
c A LaTex expression showing 4Pi
d A LaTex expression showing 18Pi
e A LaTex expression showing 11Pi
2
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 3/4 of the circle with radius 1
a A LaTex expression showing 3 over 4 Pi
b A LaTex expression showing 3Pi
c A LaTex expression showing 9 over 4 Pi
d A LaTex expression showing 7 over 4 Pi
3
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 6
a A LaTex expression showing 21 over 2 Pi
b A LaTex expression showing 39 over 4 Pi
c A LaTex expression showing 57 over 4 Pi
d A LaTex expression showing 15 over 2 Pi
e A LaTex expression showing 9Pi
4
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 5
a A LaTex expression showing 39 over 4 Pi
b A LaTex expression showing 25 over 4 Pi
c A LaTex expression showing 13 over 4 Pi
d A LaTex expression showing 29 over 4 Pi
e A LaTex expression showing 23 over 4 Pi
5
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/2 of the circle with radius 3
a A LaTex expression showing 9 over 2 Pi
b A LaTex expression showing 7 over 2 Pi
c A LaTex expression showing 19 over 4 Pi
d A LaTex expression showing 5 over 2 Pi
6
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/4 of the circle with radius 2
a A LaTex expression showing 3 over 4 Pi
b A LaTex expression showing 11 over 4 Pi
c A LaTex expression showing 1Pi
d A LaTex expression showing 1 over 2 Pi
7
An svg image showing a math problem
Find the area (in terms of π) of the green shaded sector that covers 1/2 of the circle with radius 2
a A LaTex expression showing 1 over 4 Pi
b A LaTex expression showing 1Pi
c A LaTex expression showing 2Pi
d A LaTex expression showing 7 over 2 Pi