What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3

2 answers:

5 0

We know that
in a unit circle the radius is 1
therefore
[Length of a circumference]=2*pi*r------> 2*pi

if 2pi radians in a circle unit has a length of ------------> 2*pi
2pi/3 radians----------------------------> X
X=2pi/3

the answer is 2pi/3

Anestetic [448]3 years ago

3 0

The correct answer is:

2π/3.

Explanation:

An angle formed on the unit circle would be a central angle.

The measure of an intercepted arc is the same as the measure of the central angle; since the angle is 2π/3, the arc length is 2π/3.

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3 years ago

Read 2 more answers

Meghan also wants to walk to get some exercise, rather than going to the gym. She decides to walk along arc AB. How far will she

Karo-lina-s [1.5K]

Answer:

π*AB

Step-by-step explanation:

I m not quite sure about your question because it is lack of details.

However, as my per understanding, Meghan decides to walk along arc AB it means she walks an interval equal to the circumference of the circle AB.

So, apply the formula in caculating the circumference of the circle, we have:

π*d = π*AB