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.

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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
Find the sector angle for a sector with area 112/9 π in a circle of radius 4
An svg image showing a math problem
a
700º
b
280º
c
840º
d
1,260º
e
140º
f
560º
2
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Find the sector angle for a sector with area 18/5 π in a circle of radius 3
a
564º
b
144º
c
136º
d
556º
e
416º
f
424º
3
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Find the sector angle for a sector with area 12 π in a circle of radius 6
a
600º
b
120º
c
420º
d
60º
e
240º
f
300º
4
Find the sector angle for a sector with area 8 π in a circle of radius 3
An svg image showing a math problem
a
1,280º
b
320º
c
640º
d
1,600º
e
1,760º
f
480º
5
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Find the sector angle for a sector with area 10 π in a circle of radius 5
a
346º
b
416º
c
494º
d
424º
e
144º
f
276º
6
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Find the sector angle for a sector with area 16/5 π in a circle of radius 4
a
72º
b
243º
c
282º
d
103º
e
37º
f
107º
7
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Find the sector angle for a sector with area 27/8 π in a circle of radius 3
a
320º
b
125º
c
135º
d
460º
e
590º
f
525º