HomePricing

Area of a Circle Sector From Angle to Area (Equation) (Level 3)

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.

View Unit

Circle Sector From Angle 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 with an angle of 120º in the circle with radius 5

120 degr=5

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

Mobius Math Club 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 120º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 25 over 3 Pi
b A LaTex expression showing 15 over 2 Pi
c A LaTex expression showing 25 over 2 Pi
d A LaTex expression showing 65 over 6 Pi
e A LaTex expression showing 35 over 6 Pi
2
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 35 over 3 Pi
b A LaTex expression showing 25 over 3 Pi
c A LaTex expression showing 65 over 3 Pi
d A LaTex expression showing 5Pi
e A LaTex expression showing 50 over 3 Pi
3
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 221 over 8 Pi
b A LaTex expression showing 5 over 8 Pi
c A LaTex expression showing 77 over 8 Pi
d A LaTex expression showing 113 over 8 Pi
e A LaTex expression showing 125 over 8 Pi
4
Find the area (in terms of π) of the green shaded sector with an angle of 280º in the circle with radius 3
An svg image showing a math problem
a A LaTex expression showing 7Pi
b A LaTex expression showing 23 over 3 Pi
c A LaTex expression showing 25 over 3 Pi
d A LaTex expression showing 31 over 3 Pi
e A LaTex expression showing 3Pi
5
Find the area (in terms of π) of the green shaded sector with an angle of 240º in the circle with radius 4
An svg image showing a math problem
a A LaTex expression showing 23 over 3 Pi
b A LaTex expression showing 17 over 3 Pi
c A LaTex expression showing 32 over 3 Pi
d A LaTex expression showing 14 over 3 Pi
e A LaTex expression showing 44 over 3 Pi
6
Find the area (in terms of π) of the green shaded sector with an angle of 216º in the circle with radius 5
An svg image showing a math problem
a A LaTex expression showing 117 over 5 Pi
b A LaTex expression showing 22Pi
c A LaTex expression showing 15Pi
d A LaTex expression showing 47 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 3
An svg image showing a math problem
a A LaTex expression showing 17 over 8 Pi
b A LaTex expression showing 7 over 8 Pi
c A LaTex expression showing 45 over 8 Pi
d A LaTex expression showing 27 over 8 Pi
e A LaTex expression showing 15 over 8 Pi