Question

Distance of a point (inside) circle with arbitrary direction

score 347 · Answer 1 · 2026-04-01 08:50:49

347

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Distance of a point (inside) circle with arbitrary direction

Published on 01 Apr 2026 - 8:50

score 73 · Answer 2 · 2026-04-11 09:24:53

73

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Examining whether a circle goes through any of a given set of points

Published on 11 Apr 2026 - 9:24

score 90 · Answer 3 · 2026-04-13 05:48:05

A chord of length $6$ subtends an $80^\circ$ central angle in a circle. Can we calculate the distance from center to chord without trigonometry?

score 261 · Answer 4 · 2026-04-10 12:05:09

261

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Circle transformation

Published on 10 Apr 2026 - 12:05

score 682 · Answer 5 · 2026-04-13 06:10:21

682

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Does the equality of the sum of opposite sides in a quadrilateral necessarily imply the existence of an inscribed circle?

Published on 13 Apr 2026 - 6:10

score 637 · Answer 6 · 2026-03-28 03:58:43

637

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How to show that $\int_{0}^{1}\sqrt{x}\sqrt{1-x}\,\mathrm dx =\frac{\pi}{8}$

Published on 28 Mar 2026 - 3:58

score 758 · Answer 7 · 2026-04-10 02:59:55

758

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Circle whose radius is infinite

Published on 10 Apr 2026 - 2:59

score 94 · Answer 8 · 2026-04-12 13:30:27

94

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Calculate new velocity of a ball when colliding with a circle in 2D

Published on 12 Apr 2026 - 13:30

score 658 · Answer 9 · 2026-04-13 02:33:02

658

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circle sliding along the inside of another circle is a straight line

Published on 13 Apr 2026 - 2:33

score 81 · Answer 10 · 2026-04-10 15:25:16

81

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Show that $CD\perp AB $.

Published on 10 Apr 2026 - 15:25

score 125 · Answer 11 · 2026-04-12 21:15:03

125

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In $\triangle ABC$ with $D$ on $\overline{AC}$, if $\angle CBD=2\angle ABD$ and the circumcenter lies on $\overline{BC}$, then $AD/DC\neq 1/2$

Published on 12 Apr 2026 - 21:15

score 128 · Answer 12 · 2026-03-27 16:27:37

128

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Find all integer solutions of $3(m^2 + n^2) - 7(m+n) = -4$.

Published on 27 Mar 2026 - 16:27

score 771 · Answer 13 · 2026-04-12 02:42:40

771

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What do "3 different points" have to do with linear dependence in determining a unique circle?

Published on 12 Apr 2026 - 2:42

score 144 · Answer 14 · 2019-01-06 02:08:55

144

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Proving 2 chords are the same length in a circle divided into $n$ equal arcs

Published on 06 Jan 2019 - 2:08

score 1.4k · Answer 15 · 2026-04-12 02:59:34

1.4k

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Relating Turning Angle To Arc

Published on 12 Apr 2026 - 2:59

List Question

Distance of a point (inside) circle with arbitrary direction

Examining whether a circle goes through any of a given set of points

A chord of length $6$ subtends an $80^\circ$ central angle in a circle. Can we calculate the distance from center to chord without trigonometry?

Circle transformation

Does the equality of the sum of opposite sides in a quadrilateral necessarily imply the existence of an inscribed circle?

How to show that $\int_{0}^{1}\sqrt{x}\sqrt{1-x}\,\mathrm dx =\frac{\pi}{8}$

Circle whose radius is infinite

Calculate new velocity of a ball when colliding with a circle in 2D

circle sliding along the inside of another circle is a straight line

Show that $CD\perp AB $.

In $\triangle ABC$ with $D$ on $\overline{AC}$, if $\angle CBD=2\angle ABD$ and the circumcenter lies on $\overline{BC}$, then $AD/DC\neq 1/2$

Find all integer solutions of $3(m^2 + n^2) - 7(m+n) = -4$.

What do "3 different points" have to do with linear dependence in determining a unique circle?

Proving 2 chords are the same length in a circle divided into $n$ equal arcs

Relating Turning Angle To Arc

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