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Graph Arc

Result

(skeleton graph is not a property of an arc)

Visual representation

(drawn with central angle 4 rad and radius 1)

Defining inequalities

(x - x_0)^2 + (y - y_0)^2 = r^2 and -θ/2<=tan^(-1)((y - y_0) cos(θ_0) - (x - x_0) sin(θ_0), (x - x_0) (-cos(θ_0)) - (y - y_0) sin(θ_0))<=θ/2
(assuming center (x_0, y_0), central angle θ rad, radius r, and rotation angle θ_0 rad)

Properties

diameter | 2 r
chord length | 2 r sin(θ/2) = 2 r sin(0.5 θ)
arc length | θ r
inscribed angle | θ/2 radians≈0.5 θ radians
apothem | sqrt(r^2 cos^2(θ/2)) = sqrt(r^2 cos^2(0.5 θ))
sagitta | 2 r sin^2(θ/4) = 2 r sin^2(0.25 θ)
(assuming center (x_0, y_0), central angle θ rad, radius r, and rotation angle θ_0 rad)

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