Quickly determine the radius of a circular sector when its area and central angle are known. Our free online Radius of Area Sector Calculator simplifies complex geometry problems, making it easy for students and professionals to find precise measurements for various applications.
Formula:
The formula to calculate the radius (r) of a sector when its area (A) and central angle (θ) are known is:
- If θ is in Degrees:
r = √((A × 360) / (θ × π)) - If θ is in Radians:
r = √((2A) / θ)
Where:
ris the radius of the sector.Ais the area of the sector.θis the central angle of the sector.π(Pi) is approximately 3.14159.