Formula
Sector = (angle/360) × area of circle
Example
- θ = 90°
- r = 7
- A ≈ (90/360)×153.94 ≈ 38.48
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⭕ Circles
Sector = (angle/360) × area of circle
Formula
Sector = (angle/360) × area of circle
Pick a grade — we’ll generate a matching worksheet for Area of Sector right here.
Area of Sector (sector area) is a circles relationship written as Sector = (angle/360) × area of circle or A = (θ/360) × πr². Students use it to solve unknowns when enough values are known.
Write Sector = (angle/360) × area of circle, substitute the known numbers carefully, then simplify. Worked walkthrough: θ = 90° r = 7 A ≈ (90/360)×153.94 ≈ 38.48.
Area of Sector usually appears in circles units during middle or secondary school. Match difficulty with MathDigits grade worksheets so practice fits the curriculum year.
On this page the worked result is ≈ 38.48. Generate a formula worksheet below for more unique practice sets.