Question

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Answer 1

Answer:

Let radius r

$\sqrt{ {r}^{2} + {0.7}^{2} } + \sqrt{ {r}^{2} + {2}^{2} } = 3.9 \\ \\ {r}^{2} +0.49 + {r}^{2} + 4 + 2 \sqrt{({r}^{2} + {0.7}^{2})({r}^{2} + {2}^{2})} = 15.21 \\ \\( 2 {r}^{2} - 10.72) {}^{2} = 4({r}^{2} + {0.7}^{2})({r}^{2} + {2}^{2}) \\ \\ {r}^{2} = k \\ \\ 4 {k}^{2} - 4(10.72)k + (10.72) {}^{2} = 4 {k}^{2} + 4(0.49) \times 4 + 4k(0.49 + 4) \\ \\ k(17.96 + 42.88) = 114.90 - 7.84 \\ k = 1.7596 \\ r = \sqrt{1.7596} = 1.32$

Answer 2

Radius = 1.32 cm

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