Comprehensively calculate the area, arc length, and perimeter of a circular sector. Just enter the radius and central angle.
A sector is a portion of a circle formed by two radii and an arc. This calculator automatically calculates area, arc length, and perimeter by just entering the radius and central angle. This pie-slice shaped figure is frequently used in everyday life and mathematics.
Area is calculated using the formula (θ/360) × π × r², arc length as (θ/360) × 2 × π × r, and perimeter as arc length + 2r. Enter the central angle in degrees to get precise results.
Sectors are frequently used in architecture and interior design, such as circular stairs, sector tiles, and portions of circular windows. Calculate accurate area and perimeter for material purchasing and construction planning.
Visually displays the shape of the sector with SVG diagrams. The radius and arc are clearly marked, making it intuitively understandable.
Useful for students learning the properties of sectors and circles. You can see in real-time how area and arc length change as you vary the central angle, helping to develop mathematical intuition.
Responsive design allows convenient use on smartphones, tablets, and desktops anywhere. Calculate on-site immediately or use as educational material in the classroom.