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Brief introduction of mathematical curve
Standard equation of rectangular coordinate system: point O(a, b) is the center of the circle, r is the radius, and (x-a) 2+(y-b) 2 = r 2.

Standard equation of polar coordinate system: ρ=r (constant) or ρ=e*p/( 1-e*cos(θ)). (e=0).

Area formula: s = π * r 2

Perimeter formula: L=2*π*r standard equation of rectangular coordinate system: X 2/A 2+Y 2/B 2 = 1. The standard equation of polar coordinate system: ρ=e*p/( 1-e*cos(θ)). (0 & lte & lt 1)

Area formula: S = π * A * B (A and B are the lengths of the major and minor semi-axes respectively).

Perimeter formula: standard equation of rectangular coordinate system: x 2/a 2-y 2/b 2 = 1 standard equation of polar coordinate system: ρ=e*p/( 1-e*cos(θ)). (e & gt 1)

Area formula: A curve is an open curve without a closed part.

Perimeter formula: The curve is an open curve. The standard equation of rectangular coordinate system: y 2 = 2 * p * x (x >; =0) standard equation of polar coordinate system: ρ=p/( 1-cos(θ)) or ρ = e * p/(1-e * cos (θ)) (e > 1)

Area formula: A curve is an open curve without a closed part.

Perimeter formula: the curve is an open curve, a rectangular coordinate system equation and a temporary polar coordinate system equation, and ρ=a*θ.

Area formula: temporarily unavailable.

Perimeter formula: no rectangular coordinate system equation: none;

Polar equation: ρ=sin(θ)*cos(θ)

Area formula: 4

Perimeter formula: no rectangular coordinate system equation: 4 * (x 2+y 2? a*x)^3 = 27*a^2*(x^2+y^2)^2

Equation of polar coordinate system: ρ = 4 * a * (cos (θ/3)) 3

Area formula: temporarily unavailable.

Perimeter formula: none.