If the arc length of a sector in the unit circle is 3π/2 what is the measure of the angle of the sector?
0 radians
π/2 radians <my choice
π radians
3π/2 radians
check the definition of a radian
To find the measure of the angle of the sector, we can use the formula for the arc length of a sector in the unit circle:
Arc Length = Radius * Angle
In this case, the arc length is given as 3π/2. Since the unit circle has a radius of 1, we can rewrite the formula as:
3π/2 = 1 * Angle
Simplifying this equation, we have:
Angle = 3π/2
Therefore, the measure of the angle of the sector is 3π/2 radians.