document.write( "Question 1167286: A router is in the library of the university which is 1.5 meters away from a student lounge. The range of the router, which services the WIFI connection of the university, has a diameter of 3.5 meters, with it as the center. Can students staying in the lounge connect to the said WIFI? \n" ); document.write( "
Algebra.Com's Answer #791915 by Theo(13342)![]() ![]() You can put this solution on YOUR website! the router is in the library and has a range that has a diameter of 3.5 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the student lounge is 1.5 meters from the router.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a range with a diameter of 3.5 meters has a radius of 3.5/2 meters from the router in all directions.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the range of the router is therefore 1.75 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since the lounge is 1.5 meters away, then the lounge is in the range of the router and the students staying in the lounge can connect to the wifi.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is what it looks like on a graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the black circle represents the range of the router with a radius of 1.75 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the red circle represents the radius of the possible location of the lounge with a radius of 1.5 meters.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "anywhere on the black circle will be 1.5 meters from the router.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "anywhere on the red circle will be 1.75 meters from the router.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "what this says is that all the possible locations of the lounge, that are 1.5 meters from the router, are within the range of the router.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |