Verified answer

[tex]l = 2\pi r \\ r= \frac{l}{2\pi} \\r = \frac{6}{2\pi} = \frac{3}{\pi} \\ s = \pi r {}^{2} = \pi \times \frac{3 {}^{2} }{\pi {}^{2} } = \frac{9}{\pi} = \frac{9}{3.14}=2.87... [/tex]

Пошаговое объяснение:

С = 6 см

π = 3,14

S = ? см²

S = πR²

R = C/2π = 6 : (2 * 3,14) = 6 : 6,28 = 6 : 628/100 = 6 * 100/628 = 3 * 100/314 = 300/314 = 150/157 см

S = 3,14 * (150/157)² = 314/100 * 22500/24649 =

2/1 * 225/157 = 450/157 = 2 136/157 см²