Step-by-step explanation:
The radians is just the length of the arc, so if you had a unit circle where the radius was 1, the length of that entire circle would be [tex]2\pi[/tex] since the circumference of any circle is [tex]2\pi r[/tex] except r is 1 so the length is just [tex]2\pi[/tex]. So if you take 1/4 of this you get [tex]\frac{2\pi}{4}[/tex] which can be simplified to [tex]\frac{\pi}{2}[/tex]
Answer:
Step-by-step explanation:
Comments
You need to get the radian measure of the circle.
The radian measure of the entire circle is 2 * pi
To get the radian measure of 1/4 of the circle, just divide by 4.
2 pi / 4 = pi/2
The central angle is = to 1/4 of the circumference of the circle.
So the central angle is also pi/2
Answer: pi/2
