To calculate the length of arc AB in circle O when the angle AOB measures P/3 radians, we can use the formula for the arc length:
Arc Length (s) = r × θ
Here, r is the radius of the circle, and θ (theta) is the angle in radians.
Assuming we know the radius of the circle (let’s denote it as r), you can simply substitute the values into the formula. Since angle AOB is given as P/3 radians, the formula will be:
s = r × (P/3)
If you have the value of r, plug it into the equation, and it will give you the length of arc AB. For example, if the radius of the circle is 6 units:
s = 6 × (P/3) = 2P
This means the length of arc AB would be 2P units.
So, in summary, you need to know the radius of your circle to find the exact length of arc AB, and then apply the formula!