This math topic focuses on calculating the area of circle sectors using given angles and radii. It is a part of a broader unit on geometry, specifically dealing with circles, sectors, and related concepts, intended for learners striving to understand spatial properties and their calculations in circular contexts. The exercises require the student to find the sector area in terms of π for sectors with various angles and circle radii, helping enhance their understanding of how changes in angle and radius affect the sector area. The exercises include multiple-choice answers for each problem, allowing students to practice and verify their computational skills.

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

more
View

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

Mobius Math Academy logo
Math worksheet on 'Area of a Circle Sector From Angle to Area (Equation) (Level 3)'. 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
Find the area (in terms of π) of the green shaded sector with an angle of 225º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 5 over 8 Pi
b A LaTex expression showing 41 over 8 Pi
c A LaTex expression showing 77 over 8 Pi
d A LaTex expression showing 125 over 8 Pi
e A LaTex expression showing 29 over 8 Pi
2
Find the area (in terms of π) of the green shaded sector with an angle of 225º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 45 over 8 Pi
b A LaTex expression showing 37 over 8 Pi
c A LaTex expression showing 73 over 8 Pi
d A LaTex expression showing 5 over 8 Pi
e A LaTex expression showing 53 over 8 Pi
3
Find the area (in terms of π) of the green shaded sector with an angle of 225º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 10Pi
b A LaTex expression showing 7Pi
c A LaTex expression showing 3Pi
d A LaTex expression showing 11Pi
e A LaTex expression showing 6Pi
4
Find the area (in terms of π) of the green shaded sector with an angle of 240º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 50 over 3 Pi
b A LaTex expression showing 65 over 3 Pi
c A LaTex expression showing 25Pi
d A LaTex expression showing 15Pi
5
Find the area (in terms of π) of the green shaded sector with an angle of 135º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 103 over 8 Pi
b A LaTex expression showing 13 over 4 Pi
c A LaTex expression showing 75 over 8 Pi
d A LaTex expression showing 31 over 2 Pi
6
Find the area (in terms of π) of the green shaded sector with an angle of 144º in the circle with radius 6
An svg image showing a math problem
a A LaTex expression showing 86 over 5 Pi
b A LaTex expression showing 72 over 5 Pi
c A LaTex expression showing 44 over 5 Pi
d A LaTex expression showing 23 over 5 Pi
7
Find the area (in terms of π) of the green shaded sector with an angle of 135º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 7 over 2 Pi
b A LaTex expression showing 4Pi
c A LaTex expression showing 6Pi
d A LaTex expression showing 9Pi