Question

Find the area of shaded region​

Answer 1

$\huge{\underline{\underline{\red{\mathfrak{Answer :}}}}}$

$\tt Given \begin{cases} \sf{Radius \: of \: the \: circle \: is \: 7 \: cm} \\ \sf{Angle \: of \: the \: sector \: is \: 30^{\circ} } \end{cases}$

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★ To Find :

The area of the shaded region.

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★ Solution :

As, we have to find the area of shaded region.

So, we have to find the area of sector.

We know that,

$\Large{\star{\underline{\boxed{\sf{Area \: of \: sector = \frac{\theta}{360}\pi r^2}}}}}$

(Putting Values)

Area = (30°/360°) (π * 7²)

Area = (22 * 49) / (12 * 7)

Area = 1078/84

Area = 12.833 cm²

$\large{\star{\underline{\boxed{\sf{Area = 12.833 \: cm^2}}}}}$

$\rule{200}{2}$

★ Additional information :

• In the question theta can't be negative or greater than 360°.
• The area of the sector will be smaller than the area of circle.

$\rule{200}{2}$

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