Question

Find the length of the arc, area and perimeter

of the sector whose central angle is 450 and radius

is 16 cm​

Answer 1

Answer:

Arc length=27.5cm

Area of sector=618.75cm  

2

 

⇒  

360°

θ

​  

×πr  

2

=618.75cm  

2

 

⇒  

360°

θ

​  

×2πr=27.5cm  

2

 

⇒  

θ/360°×2πr

360°

θ

​  

×πr  

2

 

​  

=  

27.5

618.75

​  

⇒r=  

27.5

618.75×2

​  

=45cm

∴Radius of sector=45cm

360°/ θ ×2× 22 /7  ×45=27.5⇒θ=  44×45 27.5×360°  =5°

Central angle=5°

Perrimeter=  360°/ θ  ×2πr+2r=27.5++2×445=117.5cm

​