Respuesta :

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.

What is sector?

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

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