Answer:
[tex]\frac{1}{4} \times 2\pi r[/tex] i.e circle circumference
Step-by-step explanation:
Data provided as per the question is
Arc NOP = Central angle = [tex]\theta = 90^\circ[/tex]
The Radius of circle = 5 units
The statement is shown below:-
we need to determine the statement which defines the best length of arc NOP
Arc length is
= [tex]\frac{control\ angle}{360} \times circumference\ of\ circle[/tex]
now we will put the values into the above formula
= [tex]\frac{90}{360} \times 2\pi r[/tex]
= [tex]\frac{1}{4} \times 2\pi r[/tex]
Hence, the [tex]\frac{1}{4} \times 2\pi r[/tex] i.e circle circumference is the best statement described.
