Question

n circle L, arc NOP is 90° and the radius is 5 units. Which statement best describes the length of arc NOP? circle M with radii LM, LN, LO, and LP so that arc MNOP is created

Answer 1

`(1)/(4) * 2\pi r` i.e circle circumference

Explanation:

Data provided as per the question is

Arc NOP = Central angle =
`\theta = 90^\circ`

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

=
`(control\ angle)/(360) * circumference\ of\ circle`

now we will put the values into the above formula

=
`(90)/(360) * 2\pi r`

=
`(1)/(4) * 2\pi r`

Hence, the
`(1)/(4) * 2\pi r` i.e circle circumference is the best statement described.