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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Find the sector angle for a sector with area 108/5 π in a circle of radius 6
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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/ |
Find the sector angle for a sector with area 27/5 π in a circle of radius 3 |
519º |
216º |
834º |
636º |
111º |
309º |
Find the sector angle for a sector with area 72/5 π in a circle of radius 6 |
354º |
634º |
564º |
486º |
144º |
704º |
Find the sector angle for a sector with area 15/2 π in a circle of radius 3 |
900º |
750º |
450º |
150º |
300º |
1,050º |
Find the sector angle for a sector with area 25/8 π in a circle of radius 5 |
125º |
85º |
135º |
35º |
185º |
45º |
Find the sector angle for a sector with area 18/5 π in a circle of radius 3 |
494º |
346º |
214º |
774º |
354º |
144º |
Find the sector angle for a sector with area 64/9 π in a circle of radius 4 |
480º |
640º |
720º |
400º |
240º |
160º |
Find the sector angle for a sector with area 32/5 π in a circle of radius 4 |
354º |
774º |
144º |
494º |
556º |
564º |