vertex count | 7 edge count | 7

height | 1/2 s cot(π/14)≈2.19064 s independent diagonal lengths | (s cos((3 π)/14) csc(π/7) | 1/2 s csc(π/14))≈(1.80194 s | 2.24698 s) area | 7/4 s^2 cot(π/7)≈3.63391 s^2 perimeter | 7 s central angle | (2 π)/7 rad≈0.8976 rad≈51.43° interior angle | (5 π)/7 rad≈2.244 rad≈128.6° interior angle sum | 900° = 5 π rad≈15.71 rad apothem | 1/2 s cot(π/7)≈1.03826 s (assuming center (x_0, y_0) and edge length s)

{7}

diagonal lengths: 1.80194 s | 2.24698 s (assuming edge length s)

diagonal count | 14 diagonal intersection count | 35 diagonal segment count | 84 diagonal region count | 50

1/4 s (csc(π/14) - 2) (1/2 s cot(π/7) + y - y_0)>=1/2 s csc(π/7) (-s/2 + x - x_0) (cos(π/7) - sin(π/14)) and -s sin(π/14) (1/4 s sec(π/14) + y - y_0)>=s cos(π/14) (-1/4 s csc(π/14) + x - x_0) and -1/2 s cos((3 π)/14) csc(π/7) (-1/2 s sin((3 π)/14) csc(π/7) + y - y_0)>=-1/2 s (sin((3 π)/14) - 1) csc(π/7) (-1/2 s cos((3 π)/14) csc(π/7) + x - x_0) and -1/2 s cos((3 π)/14) csc(π/7) (-1/2 s csc(π/7) + y - y_0)>=1/2 s (x - x_0) (sin((3 π)/14) - 1) csc(π/7) and -s sin(π/14) (-1/2 s sin((3 π)/14) csc(π/7) + y - y_0)>=-s cos(π/14) (1/2 s cos((3 π)/14) csc(π/7) + x - x_0) and 1/4 s (csc(π/14) - 2) (1/4 s sec(π/14) + y - y_0)>=-1/2 s csc(π/7) (cos(π/7) - sin(π/14)) (1/4 s csc(π/14) + x - x_0) and s (1/2 s cot(π/7) + y - y_0)>=0 (assuming center (x_0, y_0) and edge length s)