Problem 42789. Regular polygon bounded by and bounding a circle

Solution 1720348

Submitted on 4 Feb 2019 by Mu

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Test	Status	Code Input and Output
1	Pass	R = sqrt(2); n = 4; [p,a,r] = BoundedPolygon(R,n) p_correct = 8; a_correct = 4; r_correct = 1; assert(abs(p_correct-p)<0.0001 && abs(a_correct-a)<0.0001 && abs(r_correct-r)<0.0001); p = 8 a = 4.0000 r = 1.0000
2	Pass	R = sqrt(3); n = 6; [p,a,r] = BoundedPolygon(R,n) p_correct = 10.3923; a_correct = 7.7942; r_correct = 1.5; assert(abs(p_correct-p)<0.0001 && abs(a_correct-a)<0.0001 && abs(r_correct-r)<0.0001); p = 10.3923 a = 7.7942 r = 1.5000
3	Pass	R = 2; n = 12; [p,a,r] = BoundedPolygon(R,n) p_correct = 12.4233; a_correct = 12; r_correct = 1.9319; assert(abs(p_correct-p)<0.0001 && abs(a_correct-a)<0.0001 && abs(r_correct-r)<0.0001); p = 12.4233 a = 12.0000 r = 1.9319
4	Pass	R = 3; n = 3; [p,a,r] = BoundedPolygon(R,n) p_correct = 15.5885; a_correct = 11.6913; r_correct = 1.5; assert(abs(p_correct-p)<0.0001 && abs(a_correct-a)<0.0001 && abs(r_correct-r)<0.0001); p = 15.5885 a = 11.6913 r = 1.5000
5	Pass	R = 9; n = 56; [p,a,r] = BoundedPolygon(R,n) p_correct = 56.519; a_correct = 253.9354; r_correct = 8.9858; assert(abs(p_correct-p)<0.0001 && abs(a_correct-a)<0.0001 && abs(r_correct-r)<0.0001); p = 56.5190 a = 253.9354 r = 8.9858
6	Pass	R = 2; n = 99; [p,a,r] = BoundedPolygon(R,n) p_correct = 12.5643; a_correct = 12.5579; r_correct = 1.999; assert(abs(p_correct-p)<0.0001 && abs(a_correct-a)<0.0001 && abs(r_correct-r)<0.0001); p = 12.5643 a = 12.5579 r = 1.9990