Question

the diameter of a circle is 14cm find its area.

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Answer 1

$\huge\mathfrak\purple{Solution}$

Diameter = 14cm

Radius = 14/2 = 7cm

$area \: of \: circle \: = \: \pi \: {r}^{2}$

= 22/7 × 7cm × 7cm

= 22 × 7cm^2

= 154cm^2

Hope this helps you.

# By Sparkly Princess

Answer 2

$\large\sf\underline{Given\::}$

• Diameter of the circle = 14 cm.

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$\large\sf\underline{To\:find\::}$

• Area of the circle

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$\large\sf\underline{How\:to\:solve\:?}$

In the question we are given the diameter of the circle as 14 cm. We are asked to find the area of the circle. We know the area of the circle = πr². So we need the radius of the circle to calculate the area . And we do know that Radius = diameter/2 . So let's first calculate the radius and then the area. Lets proceed !

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$\large\sf\underline{Solution\::}$

Diameter = 14 cm

And we do know :

◎ $\large{\mathfrak{Radius\:=\:\frac{diameter}{2}}}$

Therefore ,

$\sf\implies\:Radius=\cancel{\frac{14}{2}}$

$\small\fbox\red{∴\:Radius\:=\:7\:cm}$ ★

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Now again we know that :

◎ $\large{\mathfrak{Area\:of\:the\:circle=\:πr^{2}}}$

where :

• π = ${\sf{{\pink{\frac{22}{7}}}}}$.

• r stands for ${\sf{{\pink{Radius}}}}$.

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Now Let's substitute the values in the formula :

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$\sf\implies\:Area\:=\:\frac{22}{7} \times (7) ^{2}$

$\sf\implies\:Area\:=\:\frac{22}{7} \times 49$

$\sf\implies\:Area\:=\:\cancel{\frac{1078}{7}}$

$\small\fbox\red{∴\:Area\:154\:sq.cm}$ ★

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$\large\sf\underline{Diagram\::}$

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\put(0,0){\line(1,0){2.3}}\put(0.5,0.3){\bf\large 7 cm}\end{picture}$

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$\dag\:\underline{\sf So\:the\:required\:area\:of\:the\:circle\:is\:154\:sq.cm}$

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For the diagram view the answer from web :D

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!! Hope it helps !!