Ejemplo 2

[i]Realiza la construcción en la que la circunferencia interior pasa por el centro de la primera y es tangente a la circunferencia exterior.[/i][br][br][img width=163,height=155]data:image/png;base64,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[/img][br][br] [i]Determina la relación entre las áreas de las dos circunferencias.[/i][br][br]Dibujamos la primera circunferencia utilizando la herramienta [b]Circunferencia (centro-punto)[/b], en la que ocultamos el punto B.[br][img width=224,height=195]data:image/png;base64,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[/img][img width=210,height=197]data:image/png;base64,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[/img][br]Creamos un punto cualquiera cobre la circunferencia, que será C, utilizando la herramienta [b]Punto[/b].[br]Este punto C será el punto de tangencia de las dos circunferencias. Como la circunferencia interior pasa por A y por C, el centro debe encontrarse a la misma distancia de estos dos puntos, por lo que será el[br]punto medio del segmento AC.[br]Para obtenerlo utilizamos la herramienta [b]Punto medio o centro[/b][url=https://wiki.geogebra.org/es/Herramienta_de_Medio_o_Centro][img width=24,height=24]data:image/png;base64,R0lGODlhGAAYAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAIAAgAUABQAhAAAAAAAAAAAKgAAPAAAOgAAPwAAOQAAOwAAPQAAIgAARgAARAAAzwAA8wAA/wAA7TcAADkAAD4AADsAADoAADUAADYAAEwAAE4AAEEAANcAANwAAP0AAP8AAAECAwECAwU4ICCOZCkOhKmSRcMY66o4zxGvy63vfO//F8wPkOF0JL+JZkMZVobQqHSIyA0fDsXPwGgUhinBLwQAOw==[/img][/url], haciendo clic sobre A y sobre C. Aparecerá el punto D que será el centro de la nueva circunferencia.[br][br][img width=254,height=204]data:image/png;base64,/9j/4AAQSkZJRgABAQEAYABgAAD/2wBDAAoHBwgHBgoICAgLCgoLDhgQDg0NDh0VFhEYIx8lJCIfIiEmKzcvJik0KSEiMEExNDk7Pj4+JS5ESUM8SDc9Pjv/2wBDAQoLCw4NDhwQEBw7KCIoOzs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozs7Ozv/wAARCADMAP4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD2aiiigAooooAKKKKACiiigAoorMn1yI3D2unxNf3ScMkRASM/7bnhfpyfagDTqneavp+nkLdXcUbnom7Ln6KOT+VU/wCzNRvznUtQaKM/8u1kSg/F/vH8NtXbLTLHTlItLWOEn7zKvzN9T1P40AVBrU0//HjpF7OOzyKIV/8AHyD+QpTL4gl5S10+39nmeQ/oorVooAy/s2uuOdSs4z6LaM383pBZ64P+YxbH2+w//Z1q0UAZRTxCh+WbTph/tRuh/Qmj7drEP+u0ZZQOptrlWP5OF/nWrRQBlp4gsAwS682yc9rqMxj/AL6Py/rWkjrIodGDKehByDSsqupVgCD1BHWsuTw9aK5lsHl06Y87rVtqk+6HKn8qANWiscXeraaP9Ot1voB1uLVcOB/tR9/+Ak/StCzvrXUIPPtJ0mjzglT0PoR2PsaALFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVXvb620+3M9zJsXOFAGWY9goHJPsKi1HUksFRFjae5mJWC3Q/NIf6AdyeBUNhpbrc/2hqMguL4jAI/1cA/uoD09z1P6UAQC21DWhuvy9jZN920jfEsg/6aMOn+6v4ntWrb20FpAsFtEkUSDCoi4AqWigAooooAKKKKACiiigAooooAKKKKACs680aG4nN3bSNZ3uMefF/F7OvRx9fwIrRooAyrXVZobhLHV4lt7hziKZP9TP/uk/db/ZPPpmtWorm1gvbd7e5iWWKQYZGGQayknn0B1hvZWm05iFiunOWhPZZD3Ho/4H1oA2qKSloAKKKKACiiigAooooAKKKKACiiigAqnqWox6bbCRkaWWRgkMK/elc9FH+PYAmrM00dvC80zhI41LOzdFA5JrL0qKW/nOs3aFGdStpEw5hiPcj+83BPoMD1oAm0zTngd729ZZb+cASOPuovZE9FH6nk1o0UUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABTZI0ljaORFdHBVlYZBB7EU6igDFtmfQrmOxmctp8zbbWVjkwt2iY+n90/h6Z2qhuraG8tpLa4QSRSrtZT3FUdJuZ4ppdKvnL3FuA0cp/5bxdA3+8Oje/PegDUooooAKKKKACiiigAooooAKKKr315Fp9jNdzH93Chc46nHYe9AGdf/APE11VNLU5trfbNeejf3I/xI3H2A9a2az9GtJLawD3IH2q4YzXB/227fgMKPYVoUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZ2s2k00Md3ZjN5Zt5kI6bx/Eh9mHH1we1aNFAEFldw39nFdwNmOZQy56/Q+9T1kWR/s7W59PPEF0Dc247Bs4kUfiQ3/AjWvQAUUUUAFFFFABRRRQAVkasPtuo2GmDlC/2mcf7EeMA/Vyv5GtesnTR9p1vU708iNktYz7KNzf8Ajz/pQBrUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGT4hRo7KPUYwTJp8gn46lOjj/vgt+QrVVldQykFWGQR3FJJGssbRuNyOCrA9wazfDrt/Y0VvIcyWjNbP/wBio/MAH8aANSiiigAooooAKKKKAEJABJOAKy/DYJ0SGdhh7lnnb6uxb+tWtUl8nSbyX+5A7fkpo0uH7PpNnCf+WcCL+SgUAW6KKKACiiigAooooAKKKKACiiigAqG7uorGzmu7htsUEbSO3ooGTU1YPjCyvdV0dNKswy/bp0inmUA+TFnczHPsMY961owjOpGMnZdX5dRPYu6Frdr4g0xb+0SWNCzI0cy7XRgcEEdv/r1o1zPhvStS0TWtRt7qd723u1S5W6MaxgSfdZdq8DgKeB6101XiYQhVapu8en9eWwK9tQooornGFV7++g02xmvbpikECF3YAnAHsKsVjeLopZ/CWpxQxvJI9uwVEUksfQAUASWHiTTdRultYnmincFkS4geIuB127gM/hWrXLS3h8QajpUdnZXka2dwJ5ri4t2iCgKRtG4Akknt6V1NABRRRQAVkWDfZtX1iED5dyXAHruTB/VK165iTxDpNt4ylikvUG+3SB2wdiyByQpboD81NJvYC7ZxX13aQaiNRZZJcOYiB5QU/w465x3z1rarOGiWqyKQ83lK+8QeYfLDZznH17dK0a1qyjJ6flYSCiiisRhRRRQBm+IyV8NamR1FpJ/6Ca0VAVQB0AxVHXI/N0HUI/71tIP/HTVm1kE1pDKDkPGrfmKAJqKKKACiiigAooooAKKKKACiiigDD8Zaxc6D4Uv9Ts4w88KDZuGQpJA3EegzmvOvhr488Q6r4qXTNSuTewXKOxLIoMRAzkEAcdse9evSxRzRPFKiyRuCrKwyGB6gis7SfDWi6FJLJpemwWjy8O0a8kemfT2rto16MKE6c6d5PZ9iWndO5qUUUVxFBRRRQAVw2gw+NF8d3j6k8p0rMn3mUxFc/u9gHIPTP45ruaKACiiigAooooAK8uufCurpqD6IkCyC4Ejx3JcbTHuGWYdcjeOO5r1Gstzu8VxD/nnYvn/AIE6/wDxNbUq06Tbj1E1c0IIvIt44txfy0C7j1OB1qSiisRhRRRQAUUUUARzxiaCSI9HUqfxFUfDsnm+HrA91hVD9VG3+laVZWh/uWv7Enm3unKj/Yf5x/6ER+FAGrRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFZVriXxPqEn/ADxghh/Vm/8AZhWrWVoP76O8vs5F3dOyH/YX5F/Rc/jQBq0UUUAFFFFABRRRQAVlSkWfiSF+iX8JiPp5ifMv5qW/75rVrO1y0lutNZrYA3Nuwng93U5A/EZH40AaNFQWd3FfWcN3CcxzIHX8anoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAKOs3bWWkzzR5MpXZEB1Lsdqj8yKmsbVbGxgtU5WGMID64HWqF3/AMTDxBbWg5hsR9pm/wB85EY/9Cb8BWvQAUUUUAFFFFABRRRQAUUUUAY9kTpmsTaa2Bb3O6e09Aesifmdw9mPpWxVLVbA39pticR3MTCS3lI+5IOh+nY+xNGlaiNStPMKeVPGxjnhJ5jkHUf1B7gg0AXaKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKr315Fp9lLdzk+XEuSB1PoB7k8D61YrFDf23q/HNhp8nXtNOP5hP/AEL/AHaALWjWk1vZmW7A+2XTedPjsx6KPZQAPwrQoooAKKKKACiiigAooooAKKKKACsnUbeeyuv7WsYzIwAW6gXrMg7j/bXt6jI9K1qKAIra5hvLaO5t5FkikXcjL0IqWsa4t7jR7l76wiaa1lO65tEHIPeSMevqvfqOeupbXMF5bJcW0qyxSDKup4NAEtFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRWXf6jM9wdN0va94RmSRhlLZT/E3qfRe/sOaAG6ldT3Nx/ZOnvsnYA3E4/5d4z/7Oew/HtzoWttDZ20dtbxiOKJdqqOwqPT9Ph0628mIs7MS8krnLyuerMe5q1QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVlXGnT2ly99pJVZHO6a1c4jnPr/sv79+/rWrRQBR0/VbfUNyKHhuI/8AW28o2yR/Udx7jIPrV6qd/pdrqARpVZJo/wDVzxNtkj+jD+XQ1TW51XTDtvYjf2w6XNuv71R/tx9/qv5UAbFFVrPULPUIzJaXEcyjhtp5U+hHUH2NWaACiiigAooooAKKKKACiik6UALSMyopZmCqoySTgAVmS67A0jQadG2oXC8FYD8iH/af7o/U+1MXSLi/cS61Msyg5WzhyIV/3s8ufrx7UAMOoXOtFodJYxWvR78r19RED94/7R4HbNaNjYW+nWwt7ZCq5yzE5Z2PVmJ5JPqasABVCqAABgAdqWgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigChe6LYX0onkhMdwBgXELGOQf8CXB/A8VXFprdn/x7X8N7GOiXibX/AO+0/qta9FAGT/bF5Bxe6LdJ/t25WZfrwd36U7/hJdIU4lu/s59LiNov/QgK1KSgCmms6XIMrqVof+2y/wCNOOq6cOuoWv8A3+X/ABp8mn2UpzJZwOf9qMH+lMGk6apyNPtQfaFf8KAIJPEOjRHD6na59BKCT+VMPiC2cf6LbX12f+mVq4H5sAP1rSjhihGIo0QeiqBT6AMr7Rrd1xDZQWS/37mTzG/75Xj/AMepDoK3Rzql7PfA/wDLJj5cX/fC9f8AgRNa1FADIYYreJYoY0ijUYVEUAD6AU+iigAooooAKKKKACiiigAooooAKKKKAP/Z[/img][br][br]Ya sólo queda dibujar la circunferencia que tiene centro D y pasa por A o C, utilizando para ello la herramienta [b]Circunferencia (centro-punto)[/b].[br]Sólo nos queda cambiar el color y la opacidad de la segunda circunferencia, abriendo la paleta de colores y desplazando la barra que aparece marcada con la flecha para hacer más opaco el color.[br]Obtendremos una figura semejante a la siguiente, en la que podemos mover el punto C para comprobar que la circunferencia interior cumple las condiciones pedidas.[br]
Circunferencia interior tangente
Para hallar el área y la longitud de la nueva circunferencia sólo hay que determinar la relación de su radio con respecto al radio de la circunferencia inicial.[br]Supongamos que el radio de la circunferencia inicial era r, el radio de la nueva circunferencia será [img width=7,height=28]data:image/png;base64,R0lGODlhBwAcAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAgAHABYAhAAAAAAAAAA6kABmtjoAADo6kDqQ22YAAGYAZma2/5A6ZrZmALaQkLb//9uQOtvbkNv///+2Zv/bkP//tv//2wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwU6oEQMTmAAzEMY0Qk4AyDLSzIDE9LcfO//soBwGAAaj72IUAABSAqQycE2oyh2MwdV5nBxTxGbaGgLAQA7[/img]. Por tanto, ya es fácil obtener el área y la longitud de esta nueva circunferencia.[br][br][img width=132,height=35]data:image/png;base64,R0lGODlhhAAjAHcAMSH+GlNvZnR3YXJlOiBNaWNyb3NvZnQgT2ZmaWNlACH5BAEAAAAALAAAAgCDAB4AhQAAAAAAAAAAOgAAZgA6OgA6kABmtjoAADoAOjoAZjo6kDpmZjpmtjqQ22YAAGYAOmYAZmZmOmZmtma2/5A6AJA6OpA6ZpDb/7ZmALZmOraQkLa2Zrb/trb//9uQOtuQZtvbkNv///+2Zv+2kP/bkP//tv//2wECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwECAwb/QIBwSCwaj8ikcikUBQKFEHNKrVqv2CyApAiVHBOteEwuY02WjnnNbgs/l6MojPTQ3fi8FdNI8o8efXqDhEgYBkomFIJDgQBzZCIDaoWVcpNLJAhxQiQHTwF3WF8ECZSWqACKjJ4GHgGMAId6JKapqbWnGiAHDSKxmpxuuWxOUFK3RbNEHohGq3nEZlxeYMlE0EQYotpReNJsaKdDGN6FnqIlEONEkuxlGKCxZXZGTuaEIgLCTPr811UcFVG3AVMhDwanoAN4xREkchPcPaMAquIxZRafiEL4LskXbkcUZXyCb0m8jKJETviyzxOoOyQYPEqYZZsIRCUe/JNVcsmX5Xl6bOLUWcREhQsYFiTgsA6J0TjB6PUR0ZMnMiEjifxsk7XR1KqqKIBlVnHfxJEXsR2V5UzZ2CNbl4gc+bbo2mVGoiqRtnBMLkUgAXCs8hHVXwqBZ3bUxupA4oBDL2T4N5hK30rNAOSUvBMvEgcBMH0JYFaLpz4q7ZWe4s/S6bChJgJlmNdxQJq0c1fJNsRYT8/hFunO4wEftcJDkLv5EGH2cDJ6saVph9vML4HP2/wpUo8xnhISBDfQcDV7GXDii6Bf8wpUXfMN2zqkA5gQdvjsEbnUGPaxGZY74TfGCAESKKAVQQAAOw==[/img]              [img width=100,height=28]data:image/png;base64,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[/img][br][br]Por tanto, el área es la cuarta parte del área de la circunferencia inicial y la longitud es la mitad de la longitud de la circunferencia inicial.

Bilgi: Ejemplo 2