Question

the area of circumference is 440 m use pi =<22/7​

Answer 1

Step-by-step explanation:

We know that,

$area \: of \: a \: circle(a) = \pi {r}^{2} \\ but \: a = 440m \:....... (given) \\ hence$

$440 = \frac{22}{7} \times {r}^{2} \\ {r}^{2} = 440 \times \frac{7}{22} \\ {r}^{2} = 20 \times 7 = 140 \\ r = + - \sqrt{140}$

$r = + - \sqrt{7 \times 5 \times 2 \times 2} \\ r= + - 2 \sqrt{35}$

hence the values of r are,

$r = 2 \sqrt{35} \: or \: r = - 2 \sqrt{35}$

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