<prompt> Nusu duara tatu za kipenyo cha 1 zimeundwa kwa kipenyo cha overlineAB cha nusu duara ya radius 2. Vituo vya nusu duara ndogo hugawanya overlineAB katika sehemu nne za urefu sawa, kama inavyoonyeshwa. Je! ni eneo gani la eneo lenye kivuli ambalo liko ndani ya nusuduara kubwa lakini nje ya nusu duara ndogo zaidi? Eleza jibu lako kwa kutumia pi na kwa njia rahisi kabisa.asyjaza0,2 ..2,0---2,0..mzunguko,kijivu0.7;kujaza-1,1 ..0,0---2,0..mzunguko,nyeupe;jaza1,1..0,0--2,0..mzunguko,nyeupe;jaza0,1..1,0---1,0..mzunguko,nyeupe;chora0,1 ..1,0---1,0 ..mzunguko,dashed;chora0,2 ..2,0---2,0..mzunguko;leboA,-2,0,W;leboB,2,0,E;lebo1,-1.5,0,S;lebo2,0,0,S;lebo1,1.5,0,S;nukta 0,0;nukta -1,0;nukta 1,0;chora-2,-0.1---2,-0.4;chora-1,-0.1---1,-0.4;chora2,-0.1--2,-0.4;chora1,-0.1--1,-0.4;asy  <response>: Eneo la nusuduara kubwa ni frac12pi cdot 22 2pi. Eneo lililofutwa kutoka nusu duara kubwa lina sekta tano za mfuatano na pembetatu mbili za usawa. Eneo la kila sekta ni frac16pi cdot 12 fracpi6 na eneo la kila pembetatu ni frac12cdot 1cdot fracsqrt32 fracsqrt34, kwa hivyo eneo la eneo lenye kivuli ni 2pi - 5cdotfracpi6-2cdotfracsqrt34 frac76pi - fracsqrt 3 2. asyjaza0,2 ..2,0---2,0..mzunguko,kijivu0.7;kujaza-1,1 ..0,0---2,0..mzunguko,nyeupe;jaza1,1..0,0--2,0..mzunguko,nyeupe;jaza0,1..1,0---1,0..mzunguko,nyeupe;chora0,1 ..1,0---1,0 ..mzunguko,dashed;chora0,2 ..2,0---2,0..mzunguko;leboA,-2,0,W;leboB,2,0,E;lebo1,-1.5,0,S;lebo1,-0.5,0,S;lebo1,0.5,0,S;chora-1.5,0.87---1,0---0.5,0.87--0,0--0.5,0.87--1,0--1.5, 0.87, upana wa mstari 0.7;lebo1,1.5,0,S;nukta 0,0;nukta -1,0;nukta 1,0;chora-2,-0.1---2,-0.4;chora-1,-0.1---1,-0.4;chora2,-0.1--2,-0.4;chora1,-0.1--1,-0.4;chora0,-0.1--0,-0.4;asy 