Question

find the area of shaded region in the given circle of radius 6cm and sector angle 70degree as in the figure​

Answer 1

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

$\tt Given \begin{cases} \sf{Radius \: of \: the \: circle \: is \: 6 \: cm} \\ \sf{Angle \: of \: the \: sector \: is \: 70^{\circ} } \end{cases}$

_____________________________

★ To Find :

The area of the sector.

_____________________________

★ Solution :

As, 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)

$\sf{area = \frac{70}{360}( \frac{22}{7} \times ( {6)}^{2} ) } \\ \\ \sf{area = \frac{70}{360}( \frac{22}{7} \times 36) } \\ \\ \sf{area = \frac{70}{360}( \frac{792}{7})} \\ \\ \sf{area = \frac{55440}{2520} } \\ \\ \sf{area = 22 \: {cm}^{2} }$

$\large{\star{\underline{\boxed{\sf{Area = 22 \: cm^2}}}}}$

$\rule{200}{2}$

★ 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.

$\rule{200}{2}$

#answerwithquality

#BAL