Question

In circle L, arc NOP is 90° and the radius is 5 units. Which statement best describes the length of arc NOP?

Answer 1

Answer:

$\frac{1}{4}$ of circumference of the circle

Step-by-step explanation:

We are given that

Arc NOP=Central angle=$\theta=90^{\circ}$

Radius of circle=5 units

We have to find the statement which describes best the length of arc NOP.

Arc length=$\frac{central\;angle}{360}\times 2\pi r$

Using the formula

Arc length=$\frac{90}{360}\times circumference\;of\;circle$

Where Circumference of circle=$2\pi r$

Arc length NOP=$\frac{1}{4}$circumference of circle

Hence, the arc length NOP=$\frac{1}{4}$ of circumference of the circle