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