Question

Can irregular polygons with unique vertices be guaranteed of a unique center point? Formula?

score 189 · Answer 1 · 2026-02-24 02:17:41

189

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Can irregular polygons with unique vertices be guaranteed of a unique center point? Formula?

Published on 24 Feb 2026 - 2:17

score 285 · Answer 2 · 2020-12-04 11:26:52

285

Views

$ABCD$ is a rectangle with $AD = 2$ , $AB = 4$. $P$ is on $AB$ such that $AP : PB = 2 : 1$. $CE \perp DP$ at $E$. Find $CE$.

Published on 04 Dec 2020 - 11:26

score 777 · Answer 3 · 2020-12-04 14:07:53

777

Views

In the following figure, $AD = AB$. Also $\angle DAB = \angle DCB = \angle AEC = 90^\circ$ and $AE = 5$. Find the area of quadrilateral $ABCD$.

Published on 04 Dec 2020 - 14:07

score 570 · Answer 4 · 2020-12-04 15:20:31

570

Views

If $\angle p + \angle q + \angle r + \angle s + \angle t = 500^\circ$, find $\angle A + \angle B + \angle C + \angle D + \angle E$.

Published on 04 Dec 2020 - 15:20

score 893 · Answer 5 · 2020-12-04 15:58:44

893

Views

Let $ABCDEF$ be a hexagon such that the diagonals $AD,BE,CF$ intersect at point $O$.

Published on 04 Dec 2020 - 15:58

score 444 · Answer 6 · 2020-12-05 15:43:30

444

Views

Two identical squares $ABCD$ and $PQRS$, overlapping each other in such a way that their edges are parallel.

Published on 05 Dec 2020 - 15:43

score 66 · Answer 7 · 2020-12-05 17:00:06

66

Views

$ABCD$ is a trapezium where $AB$ $||$ $CD$. Suppose $[\Delta BOC] = \frac{25}{9}$, and let $AB = b$, $CD = a$ where $a < b$.

Published on 05 Dec 2020 - 17:00

score 236 · Answer 8 · 2020-12-05 21:20:40

236

Views

Find the angle $\angle MNP$ from the circle with centre C

Published on 05 Dec 2020 - 21:20

score 275 · Answer 9 · 2020-12-06 06:27:07

275

Views

$ABCD$ is a trapezium where $AB$ || $CD.$ Let $AB = b$ , $CD = a$ where $a < b$. Let $S$ be the area of trapezium $ABCD$.

Published on 06 Dec 2020 - 6:27

score 555 · Answer 10 · 2020-12-07 15:51:01

555

Views

A quadrilateral $ABCD$ with $AB = 10$ , $BC = 6$ , $CD = 8$ and $DA = 2$ has diagonals $AC$ and $BD$ meeting at $O$.

Published on 07 Dec 2020 - 15:51

score 20 · Answer 11 · 2020-12-08 18:20:59

20

Views

How to calculate how long each side of an regular polygon should be to fit on a grid of x*x size?

Published on 08 Dec 2020 - 18:20

score 24 · Answer 12 · 2020-12-08 18:49:28

24

Views

Maintain the area of a polygon when offsetting one side

Published on 08 Dec 2020 - 18:49

score 485 · Answer 13 · 2020-12-10 17:40:37

485

Views

Let $ABCD$ be a quadrilateral in a circle with diameter $AC$, and let $DE \perp AB$ with $E$ on $AB$. If $AD = DC$, $[ABCD] = 24$ cm$^2$.

Published on 10 Dec 2020 - 17:40

score 652 · Answer 14 · 2026-03-28 07:53:33

652

Views

Calculate bounds of the inner rectangle of the polygon based on it's constant bounds along with border

Published on 28 Mar 2026 - 7:53

score 108 · Answer 15 · 2020-12-18 18:19:37

108

Views

Smallest circle containing a polygon with center inside it.

Published on 18 Dec 2020 - 18:19

List Question

Can irregular polygons with unique vertices be guaranteed of a unique center point? Formula?

$ABCD$ is a rectangle with $AD = 2$ , $AB = 4$. $P$ is on $AB$ such that $AP : PB = 2 : 1$. $CE \perp DP$ at $E$. Find $CE$.

In the following figure, $AD = AB$. Also $\angle DAB = \angle DCB = \angle AEC = 90^\circ$ and $AE = 5$. Find the area of quadrilateral $ABCD$.

If $\angle p + \angle q + \angle r + \angle s + \angle t = 500^\circ$, find $\angle A + \angle B + \angle C + \angle D + \angle E$.

Let $ABCDEF$ be a hexagon such that the diagonals $AD,BE,CF$ intersect at point $O$.

Two identical squares $ABCD$ and $PQRS$, overlapping each other in such a way that their edges are parallel.

$ABCD$ is a trapezium where $AB$ $||$ $CD$. Suppose $[\Delta BOC] = \frac{25}{9}$, and let $AB = b$, $CD = a$ where $a < b$.

Find the angle $\angle MNP$ from the circle with centre C

$ABCD$ is a trapezium where $AB$ || $CD.$ Let $AB = b$ , $CD = a$ where $a < b$. Let $S$ be the area of trapezium $ABCD$.

A quadrilateral $ABCD$ with $AB = 10$ , $BC = 6$ , $CD = 8$ and $DA = 2$ has diagonals $AC$ and $BD$ meeting at $O$.

How to calculate how long each side of an regular polygon should be to fit on a grid of x*x size?

Maintain the area of a polygon when offsetting one side

Let $ABCD$ be a quadrilateral in a circle with diameter $AC$, and let $DE \perp AB$ with $E$ on $AB$. If $AD = DC$, $[ABCD] = 24$ cm$^2$.

Calculate bounds of the inner rectangle of the polygon based on it's constant bounds along with border

Smallest circle containing a polygon with center inside it.

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