Question

$the \: area \: of \: a \: circular \: field \: is3850 {m}^{2}. \: what \: is \: its \: diameter$
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Answer 1

$\huge\bf{Solution:-}$

Given that the area of circle and we have to find the diameter of circle

• $\sf{Area\:of\:circle=\pi r{}^{2}}$

• Given area of circle
• $\sf 3850 m{}^{2}$

• Diameter =2r

$\bf\underline{According\:to\: Question:-}$

$\tt\rightarrow \pi r{}^{2}=3850\\ \\ \tt\rightarrow \frac{22}{7}\times r{}^{2}=3850\\ \\ \tt\rightarrow r{}^{2}=\frac{3850\times 7}{22}\\ \\ \tt\rightarrow r{}^{2}=\cancel{\frac{26950}{22}}\\ \\ \tt\rightarrow r{}^{2}=1225\\ \\ \tt \rightarrow r=\sqrt{35\times 35}\\ \\ \sf\implies r=35$

• The radius of circle is 35cm

• Now let's find the diameter of circle

• Diameter=2r

=> 2×35

=>70m

◆The diameter of a circle is 70m◆

#BAL

#answerwithquality