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

Level 3

This math topic focuses on determining the sector angle of a circle given the sector's area and the circle's radius. It is nested within a broader unit on circle geometry, specifically covering areas of circle sectors and related aspects. Through a series of questions, learners are tasked with calculating the angle of a circle sector based on provided areas and radius values, applying the formula \( \theta = \frac{{360 \times (sector\ area)}}{{\pi \times radius^2}} \). Each question presents multiple-choice answers, encouraging hands-on problem-solving within the theme of circle geometry.

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

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Circle Sector From Area to Angle (Equation)

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Find the sector angle for a sector with area 108/5 π in a circle of radius 6

r=6

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

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Math worksheet on 'Area of a Circle Sector From Area to Angle (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
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Find the sector angle for a sector with area 27/5 π in a circle of radius 3
a
519º
b
216º
c
834º
d
636º
e
111º
f
309º
2
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Find the sector angle for a sector with area 72/5 π in a circle of radius 6
a
354º
b
634º
c
564º
d
486º
e
144º
f
704º
3
Find the sector angle for a sector with area 15/2 π in a circle of radius 3
An svg image showing a math problem
a
900º
b
750º
c
450º
d
150º
e
300º
f
1,050º
4
An svg image showing a math problem
Find the sector angle for a sector with area 25/8 π in a circle of radius 5
a
125º
b
85º
c
135º
d
35º
e
185º
f
45º
5
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Find the sector angle for a sector with area 18/5 π in a circle of radius 3
a
494º
b
346º
c
214º
d
774º
e
354º
f
144º
6
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Find the sector angle for a sector with area 64/9 π in a circle of radius 4
a
480º
b
640º
c
720º
d
400º
e
240º
f
160º
7
An svg image showing a math problem
Find the sector angle for a sector with area 32/5 π in a circle of radius 4
a
354º
b
774º
c
144º
d
494º
e
556º
f
564º