Find the length of the arc intercepted by the angle 50-degree inch in a circle of 6m
6m * 50 * pi/180 = ?
To find the length of the arc intercepted by an angle in a circle, we need to use a formula. The formula to calculate the length of an arc is:
Arc length = (Angle / 360) x (2πr)
Where:
- Angle is the measure of the angle in degrees
- r is the radius of the circle
In this case, the angle is given as 50 degrees, and the radius of the circle is 6 meters. Let's substitute these values into the formula and solve for the arc length.
Arc length = (50 / 360) x (2π(6))
= (5/36) x (2π(6))
= (5/36) x (12π)
= (60π / 36)
= (5π / 3) meters
Therefore, the length of the arc intercepted by the 50-degree angle in a circle of radius 6 meters is approximately 5π/3 meters.