<prompt> Chukulia kwamba urefu wa ikweta ya Dunia ni maili 25,100 haswa na kwamba Dunia ni duara kamili. Mji wa Lena, Wisconsin, uko katika 45circ Latitudo ya Kaskazini, nusu kabisa kati ya ikweta na Ncha ya Kaskazini. Ni idadi gani ya maili katika mduara wa duara Duniani sambamba na ikweta na kupitia Lena, Wisconsin? Eleza jibu lako kwa maili mia karibu zaidi. Unaweza kutumia kikokotoo kwa tatizo hili.asyukubwa 4.5cm,4.5cm;kuchora kitengo;chora-1,0..0,-0.2..1,0;chora-0.95,0.05..0,0.2..0.97,0.05,1ptdotted;chora-0.7,0.7..0,0.6..0.7,0.7;chora-0.65,0.75..0,0.8..0.66,0.75,1ptdotted;nukta 0,0;chora0,0--1,0;chora0,0--0.7,0.7;nukta 0.7,0.7;nukta 0,0.72;leboLena,0.7,0.7,ENE;lebo45circ,shift0.3,0.10,0;asy  <response>: Acha eneo la dunia liwe r. Kwa kuwa ikweta hupima maili 25100, tuna 2pi r 25100 Rightarrow r frac12550pi.asydefaultpenlinewidth.7ptfontsize10pt;ukubwa 4.5cm,4.5cm;kuchora kitengo;chora-1,0..0,-0.2..1,0;chora-0.95,0.05..0,0.2..0.97,0.05,1ptdotted;chora-0.7,0.7..0,0.6..0.7,0.7;chora-0.65,0.75..0,0.8..0.66,0.75,1ptdotted;nukta 0,0;chora0,0--1,0;chora0,0--0.7,0.7;nukta 0.7,0.7;nukta 0,0.72;chora.7,.7--0,.72--0,0, iliyokatika;lebofracrsqrt2,.7,.7--0,.72,N; lebofracrsqrt2,0,0--0,.72,W;lebor,0,0--1,0,S; lebor,0,0--0.7,.7,SE;leboA,0,0,SW; leboB,0,.7,NW;leboL,0.7,0.7,ENE;lebo45circ,shift0.3,0.10,0;asyAcha kitovu cha Dunia kiwe A, acha katikati ya duara inayopitia Lena iwe B, na Lena awe L. Kwa sababu overlineBL inalingana na ikweta na Lena iko 45circ Latitudo ya Kaskazini, pembetatu ABL ni pembetatu 45-45-90. Kwa hivyo, BLABfracrsqrt2.Idadi ya maili katika mduara wa mduara sambamba na ikweta na kupitia Lena ni 2pi cdot BL 2pi fracrsqrt2 frac25100sqrt 2 takriban maili 17748. Kwa maili mia karibu zaidi, thamani hii ni 17700 maili. 