Question

The area of sector (in cm^) of a circle with radius 6cm if angke of tge sector is 70° will be

Answer 1

☛ Given :

Radius = 6 cm

Angle of the sector ( x) = 70°

$\rule{400}{4}$

✯ Required to find :

1. Area of the sector

$\rule{400}{4}$

⚝ Explanation :

$\longrightarrow{\huge{What\:is\:a\: Sector\:?}}$

A sector is a part of a circle enclosed by 2 radii and an arc .

Generally, this sector are mostly used in preparation of pie charts .

Formula :

Generally we can find the area of the sector using an formula .

But we need to know about the Other information ;

Such as radius of the circle and angle of the sector too.

If this values are given then we can find the area of the sector easily .

The formula is ,

$area \: of \: the \: sector \: = \frac{x}{360} \times \pi {r}^{2}$

Hence, using this formula we can find the area of the sector .

$\rule{400}{4}$

☞ Solution :

Radius = 6cm

Angle of sector = 70°

Area of the sector = ?

Formula ;

$area \: of \: the \: sector \: = \frac{x}{360} \times \pi {r}^{2}$

Hence, substitute the respective values .

$area \: of \: the \: sector \: = \frac{70}{360} \times \: \frac{22}{7} \times 6 \times 6 \\ = \frac{55440}{2520} \\ \\ = 22 \: centimete {r}^{2}$

Hence,

Area of the sector is 22 centimeter^2