Polar Grapher

Plot polar curves r(θ)

Use theta for the angle θ (radians). Functions: sin, cos, tan, sqrt, exp, ln, abs… Constants: pi, tau, e. Example: 1 + cos(theta).

r(θ) = 1 + cos(theta)
Maximum radius
2
Arc length
8,000029401
Swept area
4,712418366
r at θ min → θ max
2 → 2

Swept area = ½∫r²dθ; arc length = ∫√(r² + (dr/dθ)²)dθ over the chosen θ range.

Polar curve plotPolar plot of the curve on a grid of concentric radius rings and radial spokes, centred on the pole. r(θ) = 1 + cos(theta).0.511.520°90°

À propos de cette calculatrice

The Polar Grapher plots a polar curve r(θ) over a chosen angle range and reports its maximum radius, the swept sector area (½∫r²dθ) and the arc length (∫√(r²+r'²)dθ). Type expressions like 1 + cos(theta), cos(2*theta), or 2 using theta as the angle in radians.