<a href="https://en.wikipedia.org/wiki/Circle" class="extiw" title="w:Circle">Circle</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle k}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>k</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle k}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3c9a2c7b599b37105512c5d570edc034056dd40" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:1.211ex; height:2.176ex;" alt="k"></span> with <a href="https://en.wikipedia.org/wiki/Centre_(geometry)" class="extiw" title="w:Centre (geometry)">center</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle M}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>M</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle M}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/f82cade9898ced02fdd08712e5f0c0151758a0dd" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:2.442ex; height:2.176ex;" alt="M"></span> and <a href="https://en.wikipedia.org/wiki/radius" class="extiw" title="w:radius">radius</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle r}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>r</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle r}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/0d1ecb613aa2984f0576f70f86650b7c2a132538" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:1.049ex; height:1.676ex;" alt="r"></span> (with <a href="https://en.wikipedia.org/wiki/central_angle" class="extiw" title="w:central angle">central angle</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \alpha =\angle AMB}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>α<!-- α --></mi><mo>=</mo><mi mathvariant="normal">∠<!-- ∠ --></mi><mi>A</mi><mi>M</mi><mi>B</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \alpha =\angle AMB}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bea43b038f38affa41563d7a40e5be3ddbdeb38b" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:12.213ex; height:2.176ex;" alt="{\displaystyle \alpha =\angle AMB}"></span> and <a href="https://en.wikipedia.org/wiki/inscribed_angle" class="extiw" title="w:inscribed angle">inscribed angles</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \varphi =\angle AC_{1}B=\angle AC_{2}B}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>φ<!-- φ --></mi><mo>=</mo><mi mathvariant="normal">∠<!-- ∠ --></mi><mi>A</mi><msub><mi>C</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><mi>B</mi><mo>=</mo><mi mathvariant="normal">∠<!-- ∠ --></mi><mi>A</mi><msub><mi>C</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msub><mi>B</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \varphi =\angle AC_{1}B=\angle AC_{2}B}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/01a6ee1dfb4e7f0a8d5168c2b4dd93268d986507" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.838ex; width:23.52ex; height:2.676ex;" alt="{\displaystyle \varphi =\angle AC_{1}B=\angle AC_{2}B}"></span> and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle \psi =\angle AC_{3}B=\angle AC_{4}B}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mi>ψ<!-- ψ --></mi><mo>=</mo><mi mathvariant="normal">∠<!-- ∠ --></mi><mi>A</mi><msub><mi>C</mi><mrow class="MJX-TeXAtom-ORD"><mn>3</mn></mrow></msub><mi>B</mi><mo>=</mo><mi mathvariant="normal">∠<!-- ∠ --></mi><mi>A</mi><msub><mi>C</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msub><mi>B</mi></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle \psi =\angle AC_{3}B=\angle AC_{4}B}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/b1750606663692ba118daad8f755d26b5e519f41" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:23.513ex; height:2.509ex;" alt="{\displaystyle \psi =\angle AC_{3}B=\angle AC_{4}B}"></span> for <a href="https://en.wikipedia.org/wiki/Vertex_(geometry)" class="extiw" title="w:Vertex (geometry)">vertices</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle C_{1},\dotsc ,C_{4}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>C</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub><mo>,</mo><mo>…<!-- … --></mo><mo>,</mo><msub><mi>C</mi><mrow class="MJX-TeXAtom-ORD"><mn>4</mn></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle C_{1},\dotsc ,C_{4}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/c3fc36a78f6e79569ed2a980c125f3716cf8ef3e" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:10.61ex; height:2.509ex;" alt="{\displaystyle C_{1},\dotsc ,C_{4}}"></span>), which ist separated into two <a href="https://en.wikipedia.org/wiki/Arc_(geometry)" class="extiw" title="w:Arc (geometry)">arcs</a> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b_{1}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>1</mn></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle b_{1}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/9af2720c91be489f57ecde4bb651b95e113d0144" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:2.052ex; height:2.509ex;" alt="{\displaystyle b_{1}}"></span> (green) and <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle b_{2}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><msub><mi>b</mi><mrow class="MJX-TeXAtom-ORD"><mn>2</mn></mrow></msub></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle b_{2}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/2530a260ad35bf21ee61f1f4d6493ae0474f6068" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.671ex; width:2.052ex; height:2.509ex;" alt="{\displaystyle b_{2}}"></span> (black) by <b><a href="https://en.wikipedia.org/wiki/Chord_(geometry)" class="extiw" title="w:Chord (geometry)">chord</a></b> <span class="mwe-math-element"><span class="mwe-math-mathml-inline mwe-math-mathml-a11y" style="display: none;"><math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle {\overline {AB}}}"><semantics><mrow class="MJX-TeXAtom-ORD"><mstyle displaystyle="true" scriptlevel="0"><mrow class="MJX-TeXAtom-ORD"><mover><mrow><mi>A</mi><mi>B</mi></mrow><mo accent="false">¯<!-- ¯ --></mo></mover></mrow></mstyle></mrow><annotation encoding="application/x-tex">{\displaystyle {\overline {AB}}}</annotation></semantics></math></span><img src="https://wikimedia.org/api/rest_v1/media/math/render/svg/70f91c39c977790f3cc4e768d5aad89bb1696110" class="mwe-math-fallback-image-inline" aria-hidden="true" style="vertical-align: -0.338ex; width:3.622ex; height:3.009ex;" alt="{\displaystyle {\overline {AB}}}"></span> (red, highlighted yellow).
<a href="//commons.wikimedia.org/wiki/User:SweetWood" title="User:SweetWood">SweetWood</a>, (based on "<a href="//commons.wikimedia.org/wiki/File:Sehne.png" title="File:Sehne.png">Sehne.png</a>")
2020-11-09
<span class="int-own-work" lang="en">Own work</span>