Question

If a area of a circle is 154sq.m find its diameter

Answer 1

Given

$\bold{Area \ of \ a \ circle} = 154 \ m^{2}$

SOMETHING YOU NEED TO KNOW

Area of a circle = πr²

Perimeter of a circle = 2πr

$\implies \pi r^{2} = 154\\\implies r^{2} = 154/\pi \\\implies r^{2} =49\\\implies \underline{\underline{r = 7}}$

Diameter = 2(Radius)

               $= \boxed{\boxed{\bold{14 \ cm}}}}}$

                                                       

Answer 2

Given ,

Area of circle = 154 m²

We know that , the area of circle is given by

$\large \mathtt{\fbox{Area \: of \: circle = </p><p>\pi {r}^{2} }}$

Thus ,

$\sf \hookrightarrow 154 = \frac{22}{7} \times {(r)}^{2} \\ \\ \sf \hookrightarrow {(r)}^{2} = \frac{1078}{22} \\ \\ \sf \hookrightarrow {(r)}^{2} = 49 \\ \\ \sf \hookrightarrow r = \sqrt{49} \\ \\ \sf \hookrightarrow r = 7 \: \: m$

Since , diameter = two times of radius

$\sf \hookrightarrow Diameter = 2 \times 7 \\ \\ \sf \hookrightarrow Diameter = 14 \: \: m$

Hence , the diameter of circle is 14 m

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