Step-by-step explanation:
210÷360=287÷P
7÷12=287÷P
P=287×12÷7
P=41×12
P=2πr=12×41
(π≈3)
6r=12×41
r≈2×41=82
The radius of the circle is: 24 units.
A sector is said to be a part of a circle made of the arc of the circle along with its two radii.
Central angle= 210
Arc length= 28 π units
length of sector= [tex]\theta[/tex]/360* 2πr
28 π = 210/360* 2*r
28= 7/12*2*r
28= 7/6 * r
r= 28*6/7
r= 24 units.
Learn more about concept here:
https://brainly.com/question/23222979
#SPJ2