Find radius of a circular cross section based on distance from the origin
How to find the radius of a circular cross section (centered on the z-axis) of the unit sphere based on its distance from the origin?
geometry
add a comment |
How to find the radius of a circular cross section (centered on the z-axis) of the unit sphere based on its distance from the origin?
geometry
$r_1=sqrt {r^2-d^2}$ by Pythagoras theorem. Also, if it is the unit circle then $r_1=sqrt {1-d^2}$
– Mohammad Zuhair Khan
Nov 28 at 4:29
1
Hint: connect the origin to another point, and apply the Pythagoras theorem as suggested by Raptor, can you finish it?
– Alex Vong
Nov 28 at 4:36
add a comment |
How to find the radius of a circular cross section (centered on the z-axis) of the unit sphere based on its distance from the origin?
geometry
How to find the radius of a circular cross section (centered on the z-axis) of the unit sphere based on its distance from the origin?
geometry
geometry
edited Nov 28 at 4:54
Saad
19.7k92252
19.7k92252
asked Nov 28 at 4:21
Anthony Ferraro
1
1
$r_1=sqrt {r^2-d^2}$ by Pythagoras theorem. Also, if it is the unit circle then $r_1=sqrt {1-d^2}$
– Mohammad Zuhair Khan
Nov 28 at 4:29
1
Hint: connect the origin to another point, and apply the Pythagoras theorem as suggested by Raptor, can you finish it?
– Alex Vong
Nov 28 at 4:36
add a comment |
$r_1=sqrt {r^2-d^2}$ by Pythagoras theorem. Also, if it is the unit circle then $r_1=sqrt {1-d^2}$
– Mohammad Zuhair Khan
Nov 28 at 4:29
1
Hint: connect the origin to another point, and apply the Pythagoras theorem as suggested by Raptor, can you finish it?
– Alex Vong
Nov 28 at 4:36
$r_1=sqrt {r^2-d^2}$ by Pythagoras theorem. Also, if it is the unit circle then $r_1=sqrt {1-d^2}$
– Mohammad Zuhair Khan
Nov 28 at 4:29
$r_1=sqrt {r^2-d^2}$ by Pythagoras theorem. Also, if it is the unit circle then $r_1=sqrt {1-d^2}$
– Mohammad Zuhair Khan
Nov 28 at 4:29
1
1
Hint: connect the origin to another point, and apply the Pythagoras theorem as suggested by Raptor, can you finish it?
– Alex Vong
Nov 28 at 4:36
Hint: connect the origin to another point, and apply the Pythagoras theorem as suggested by Raptor, can you finish it?
– Alex Vong
Nov 28 at 4:36
add a comment |
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016711%2ffind-radius-of-a-circular-cross-section-based-on-distance-from-the-origin%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
active
oldest
votes
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Some of your past answers have not been well-received, and you're in danger of being blocked from answering.
Please pay close attention to the following guidance:
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3016711%2ffind-radius-of-a-circular-cross-section-based-on-distance-from-the-origin%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
$r_1=sqrt {r^2-d^2}$ by Pythagoras theorem. Also, if it is the unit circle then $r_1=sqrt {1-d^2}$
– Mohammad Zuhair Khan
Nov 28 at 4:29
1
Hint: connect the origin to another point, and apply the Pythagoras theorem as suggested by Raptor, can you finish it?
– Alex Vong
Nov 28 at 4:36