Question

Find the area of a sector whose length of the arc is 50mm and radius is 14mm?

Answer 1

Answer:

Area of thee Sector is 350 mm².

Step-by-step explanation:

Given:

length of the arc of the sector = 50 mm

Radius , r = 14 mm

To find: Area of the sector.

 

We know that,

$Length\:of\:arc=\frac{\theta}{360}\times2\pi r$

$50=\frac{\theta}{360}\times2\times\frac{22}{7}\times14$

$50\times360=\theta\times2\times22\times2$

$18000=\theta\times88$

$\theta=\frac{18000}{88}$

$Area\:of\:sector=\frac{\theta}{360}\times\pi r^2$

Area of the sector  $=\frac{\frac{18000}{88}}{360}\times\frac{22}{7}\times14^2$

                                 $=\frac{18000}{88\times360}\times22\times14\times2$

                                 $=\frac{18000}{31680}\times616$

                                 $=\frac{11088000}{31680}$

                                 $=350\:mm^2$

Therefore, Area of thee Sector is 350 mm².

Answer 2

Answer:

AREA OF THE SECTOR IS 350mm²

HOPE IT WILL HELP YOU......