Question

how is $ 2\pi \int^R_{-R} \sqrt{R^2}dx = 4\pi R^2 $? (sphere area)

score 279 · Answer 1 · 2012-11-16 10:38:40

279

Views

how is $ 2\pi \int^R_{-R} \sqrt{R^2}dx = 4\pi R^2 $? (sphere area)

Published on 16 Nov 2012 - 10:38

score 1.2k · Answer 2 · 2026-03-31 03:58:17

1.2k

Views

In the symplectic 2-sphere $(S^2,d\theta\wedge dz)$, is the vector field $X=\partial_\theta$ Hamiltonian?

Published on 31 Mar 2026 - 3:58

score 58 · Answer 3 · 2013-02-12 23:50:25

58

Views

relation between the coordinates of the vector on the unit sphere

Published on 12 Feb 2013 - 23:50

score 843 · Answer 4 · 2013-03-11 21:15:13

843

Views

Intersection of Hamming balls of boolean vectors

Published on 11 Mar 2013 - 21:15

score 688 · Answer 5 · 2013-03-21 04:00:54

688

Views

Prove that the intersection of a sphere and plane is a circle

Published on 21 Mar 2013 - 4:00

score 872 · Answer 6 · 2020-08-02 13:22:38

872

Views

Example of a metric with negative scalar curvature everywhere on a sphere $S^n$

Published on 02 Aug 2020 - 13:22

score 220 · Answer 7 · 2020-08-07 10:27:45

220

Views

If a circle with another circle cut out is called a washer, what's the spherical equivalent called?

Published on 07 Aug 2020 - 10:27

score 146 · Answer 8 · 2020-08-10 11:39:46

146

Views

Conditions under which a tetrahedron's circumcenter lies in its interior or exterior

Published on 10 Aug 2020 - 11:39

score 50 · Answer 9 · 2020-08-10 14:03:17

50

Views

Expected norm of first $d$ coordinates of the $n$-dimensional sphere

Published on 10 Aug 2020 - 14:03

score 104 · Answer 10 · 2020-08-18 13:30:51

104

Views

how to check that a parametric equation represents a spherical surface?

Published on 18 Aug 2020 - 13:30

score 1k · Answer 11 · 2020-08-22 16:20:08

1k

Views

One point compactification of $\mathbb{R}^{n}$ is homeomorphic to $S^{n}$

Published on 22 Aug 2020 - 16:20

score 2.1k · Answer 12 · 2026-03-30 17:38:36

2.1k

Views

How do I convert this equation to the standard form of a circle?

Published on 30 Mar 2026 - 17:38

score 43 · Answer 13 · 2026-03-25 19:12:04

43

Views

Transform the problem of finding the smallest enclosing circle on the surface of sphere to smallest circle in carthesian space

Published on 25 Mar 2026 - 19:12

score 353 · Answer 14 · 2026-04-01 01:05:10

353

Views

Why is the Volume integration & Surface Area integration of a sphere different?

Published on 01 Apr 2026 - 1:05

score 189 · Answer 15 · 2026-03-28 07:36:42

189

Views

On driving a car on a sphere

Published on 28 Mar 2026 - 7:36

List Question

how is $ 2\pi \int^R_{-R} \sqrt{R^2}dx = 4\pi R^2 $? (sphere area)

In the symplectic 2-sphere $(S^2,d\theta\wedge dz)$, is the vector field $X=\partial_\theta$ Hamiltonian?

relation between the coordinates of the vector on the unit sphere

Intersection of Hamming balls of boolean vectors

Prove that the intersection of a sphere and plane is a circle

Example of a metric with negative scalar curvature everywhere on a sphere $S^n$

If a circle with another circle cut out is called a washer, what's the spherical equivalent called?

Conditions under which a tetrahedron's circumcenter lies in its interior or exterior

Expected norm of first $d$ coordinates of the $n$-dimensional sphere

how to check that a parametric equation represents a spherical surface?

One point compactification of $\mathbb{R}^{n}$ is homeomorphic to $S^{n}$

How do I convert this equation to the standard form of a circle?

Transform the problem of finding the smallest enclosing circle on the surface of sphere to smallest circle in carthesian space

Why is the Volume integration & Surface Area integration of a sphere different?

On driving a car on a sphere

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