Question

The adjoining figure shows two circles with the same Centre. the radius of the larger circle is 10cm and the radius of the smaller circle is 4 cm.

Find: (a) area of largest Circle
(b) the area of smaller circle
(c) the shaded area area between the two circles.
$(\sf \: take \: \: \pi = 3.14) \:$
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Answer 1

Refer to the attachments

I have given 3 of them

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Answer 2

Given:-

• Radius of largest circle is 10cm
• Radius of smaller circle is 4cm

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Exigency To Find:-

• Area of largest Circle
• Area of smaller circle
• The shaded area between the Two circles

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★ Explanation:

Here's We are provided with the two circles with same centre [ Refer Attachment ], And the radius of the larger circle is 10 cm and the smaller circle is 4 cm (approximately). After it, we have asked to find the area of largest circle and the area of smaller circle with to find shaded area between the two circles given

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Formula to be used:-

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• Area of Circle = $\sf{\pi {r}^{2}}$

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Solution:-

According to the Question; Area of largest Circle (Given) is 10cm And As the question says to take π as 3.14.

So,

$\begin{gathered}\sf \: (a) \: Radius \: of \: Largest \: Circle \: = \: 10cm \\\\\\ \sf \dashrightarrow {Area \: of \: largest \: Circle} \: \sf = {\pi {r}^{2}} \\ \\ \\ \: \: = \: \sf{3.14 \times 10 \times 10 }\\\\\\ \sf = \: \green{314 \: cm}^\green{2}\end{gathered}$

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$\begin{gathered} \sf (b) \: Radius \: of \: smaller \: circle \: = \: 4cm \\\\\\ \: - \sf \: Area \: of \: smaller \: circle \: = \: \pi {r}^{2} \\\\\\ \sf \: = 3.14 \times \: 4 \times 4 \\ \\ \\ = \sf \pink{50.24 \: cm}^ \pink{2}\end{gathered}$

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$\begin{gathered} \sf (c) \: Area \: of \: shaded \: region \: \: \: \\ \\ \\ = \sf{( \: 314 \: - \: 50.24 )}cm^{2}\\\\\\ \: \sf = \orange{263.76 \: cm}^ \orange{2} (approx) \end{gathered}$

More Formulae :-

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• Perimeter of Square = 4 × Side
• Area of Square = Side × Side
• Perimeter of Rectangle = 2 × (Length + Breadth)
• Area of Rectangle = Length × Breadth
• Area of Parallelogram = Base × Height
• Area of Triangle = $\sf\dfrac{1}{2} \times \: base \: \times \: height$
• Area of Circle = πr²
• Circumference of Circle = 2πr , Where r Denotes AS Radius.