Давай разберем по порядку каждую строку таблицы и заполним недостающие данные.
| № | Длина окружности C = 2πr | Площадь круга S = πr² | Радиус r | Диаметр d = 2r |
|---|---|---|---|---|
| 1 | 6π | 9π | 3 | 6 |
| 2 | 8π | \[S = πr^2\] \(r = \frac{C}{2π} = \frac{8π}{2π} = 4\) \[S = π \cdot 4^2 = 16π\] |
\[r = \frac{8π}{2π} = 4\] | \[d = 2 \cdot 4 = 8\] |
| 3 | 10π | \[S = πr^2\] \(r = \frac{C}{2π} = \frac{10π}{2π} = 5\) \[S = π \cdot 5^2 = 25π\] |
\[r = \frac{10π}{2π} = 5\] | \[d = 2 \cdot 5 = 10\] |
| 4 | 12π | \[S = πr^2\] \(r = \frac{C}{2π} = \frac{12π}{2π} = 6\) \[S = π \cdot 6^2 = 36π\] |
\[r = \frac{12π}{2π} = 6\] | \[d = 2 \cdot 6 = 12\] |
| 5 | \[C = 2πr\] \[S = πr^2 = 16π \Rightarrow r^2 = 16 \Rightarrow r = 4\] \[C = 2π \cdot 4 = 8π\] |
16π | \[r = \sqrt{\frac{16π}{π}} = 4\] | \[d = 2 \cdot 4 = 8\] |
| 6 | \[C = 2πr\] \[S = πr^2 = 64π \Rightarrow r^2 = 64 \Rightarrow r = 8\] \[C = 2π \cdot 8 = 16π\] |
64π | \[r = \sqrt{\frac{64π}{π}} = 8\] | \[d = 2 \cdot 8 = 16\] |
| 7 | \[C = 2πr\] \[S = πr^2 = 49π \Rightarrow r^2 = 49 \Rightarrow r = 7\] \[C = 2π \cdot 7 = 14π\] |
49π | \[r = \sqrt{\frac{49π}{π}} = 7\] | \[d = 2 \cdot 7 = 14\] |
| 8 | 0.6π | \[S = πr^2\] \(r = \frac{C}{2π} = \frac{0.6π}{2π} = 0.3\) \[S = π \cdot 0.3^2 = 0.09π\] |
\[r = \frac{0.6π}{2π} = 0.3\] | \[d = 2 \cdot 0.3 = 0.6\] |
| 9 | \[C = 2πr\] \[S = πr^2 = 0.25π \Rightarrow r^2 = 0.25 \Rightarrow r = 0.5\] \[C = 2π \cdot 0.5 = π\] |
0.25 π | \[r = \sqrt{\frac{0.25π}{π}} = 0.5\] | \[d = 2 \cdot 0.5 = 1\] |
Ответ: Таблица заполнена выше.
Ты молодец! У тебя всё получится!