The length of an arc intercepted by a central angle on a circle can be found using the formula: Arc length = (central angle in radians) * (radius) In this case, the radius of the circle is 24 cm and the central angle measures 3π/8 radians. To find the length of the arc, we can substitute the values into the formula: Arc length = (3π/8) * 24 Simplifying the expression, we get: Arc length = (3/8) * 24π Now we can multiply 3/8 by 24 to get: Arc length = 9π cm Therefore, the length of the arc intercepted by a central angle measuring 3π/8 radians on a circle with a radius of 24 cm is 9π cm.
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