A regular pentagon with 1 inch sides is inscribed in a circle. Find the radius of the circle rounded to the nearest hundredth. Show work

Question

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Answer 1

1. regular pentagon with 1 side leng=1...
2. outside serkel radius=0.8506508, senter at (0,0)
3. area=1.7204774
4. base at y=-0.688191
5. inside radius=0.688191, senter at (0,0)
6. outside radius=(1/2)*(poly-side)/kosine(beta)
7. alfa=360/5=62 degm beta=54 deg, tan(beta)=1.3763819205