Respuesta :
Answer:
[tex]\frac{1}{4}[/tex] of circumference of the circle
Step-by-step explanation:
We are given that
Arc NOP=Central angle=[tex]\theta=90^{\circ}[/tex]
Radius of circle=5 units
We have to find the statement which describes best the length of arc NOP.
Arc length=[tex]\frac{central\;angle}{360}\times 2\pi r[/tex]
Using the formula
Arc length=[tex]\frac{90}{360}\times circumference\;of\;circle[/tex]
Where Circumference of circle=[tex]2\pi r[/tex]
Arc length NOP=[tex]\frac{1}{4}[/tex]circumference of circle
Hence, the arc length NOP=[tex]\frac{1}{4}[/tex] of circumference of the circle