This math topic focuses on finding the sector angle in a circle given the area of the sector and the radius of the circle. It deeply engages with the formulae linked to circle geometry, specifically the relationship between the area of a sector, the radius of the circle, and the angle subtended at the center by the sector. The questions present different scenarios requiring calculations to determine the sector angle from the provided dimensions, helping learners apply geometric principles to solve real-world problems related to circle sectors. This is part of a broader introduction to the geometry of circle areas, sectors, and similar shapes.
Work on practice problems directly here, or download the printable pdf worksheet to practice offline.
Practice:
Circle Sector From Area to Angle (Equation)
Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.
Find the sector angle for a sector with area 25/4 π in a circle of radius 5
Area of a Circle Sector From Area to Angle (Equation) Worksheet
| Math worksheet on 'Area of a Circle Sector From Area to Angle (Equation) (Level 1)'. 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 9/4 π in a circle of radius 3 |
| 450º |
| 405º |
| 90º |
| 495º |
| 180º |
| 225º |
| Find the sector angle for a sector with area 18 π in a circle of radius 6 |
| 360º |
| 540º |
| 180º |
| 90º |
| 720º |
| 450º |
| Find the sector angle for a sector with area 4 π in a circle of radius 4 |
| 90º |
| 360º |
| 315º |
| 495º |
| 135º |
| 45º |
| Find the sector angle for a sector with area 75/4 π in a circle of radius 5 |
| 945º |
| 1,215º |
| 540º |
| 270º |
| 135º |
| 1,350º |
| Find the sector angle for a sector with area 25/2 π in a circle of radius 5 |
| 180º |
| 90º |
| 540º |
| 990º |
| 450º |
| 630º |
| Find the sector angle for a sector with area 1/4 π in a circle of radius 1 |
| 90º |
| 180º |
| 225º |
| 315º |
| 360º |
| 270º |
| Find the sector angle for a sector with area 9/2 π in a circle of radius 3 |
| 540º |
| 90º |
| 450º |
| 360º |
| 180º |
| 630º |