If a central angle of 5π3 is created with two radii that are 30 inches long, then how long is the arc they will cut in radians?
The formula for finding the length of an arc given a central angle and radius is:
Arc Length = (central angle in radians) * radius
In this case, the central angle is 5π/3 and the radius is 30 inches. Plugging in these values into the formula:
Arc Length = (5π/3) * 30
Arc Length = 50π inches
Therefore, the arc length created by a central angle of 5π/3 radians with two radii of 30 inches is 50π inches.