The diameter of a circle with area 38.5 , m^2 | vedclass

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(A) The area of a circle is given by the formula $A = \pi r^2$,where $r$ is the radius.Given,$A = 38.5 \, m^2$.Substituting the value of $\pi = \frac{

Vedclass · Accepted Answer

$7$

Vedclass · Answer

(A) The area of a circle is given by the formula $A = \pi r^2$,where $r$ is the radius.Given,$A = 38.5 \, m^2$.Substituting the value of $\pi = \frac{22}{7}$:$38.5 = \frac{22}{7} 	imes r^2$$r^2 = 38.5 	imes \frac{7}{22}$$r^2 = \frac{385}{10} 	imes \frac{7}{22} = \frac{77 	imes 5}{2 	imes 5} 	imes \frac{7}{22} = \frac{77 	imes 7}{22 	imes 2} = \frac{7 	imes 7}{2 	imes 2} = \frac{49}{4}$$r = \sqrt{\frac{49}{4}} = \frac{7}{2} = 3.5 \, m$.The diameter $d$ is given by $d = 2r$.$d = 2 	imes 3.5 = 7 \, m$.

The diameter of a circle with area $38.5 \, m^2$ is $\ldots \ldots \ldots \ldots m$.

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