In a circle with a radius of 6 m, an arc is intercepted by a central angle of 7π/4 radians.



What is the arc length?

Use 3.14 for π .

To find the arc length, you need to use the formula:

Arc length = radius * central angle

Given that the radius is 6 m and the central angle is 7π/4 radians, you can substitute these values into the formula to calculate the arc length.

Arc length = 6 m * (7π/4 radians)

First, simplify the expression 7π/4 radians:

7π/4 radians = (7 * 3.14)/4 radians

= 21.98/4 radians

= 5.495 radians

Now, substitute the simplified value of the central angle into the arc length formula:

Arc length = 6 m * 5.495 radians

= 32.97 m (rounded to two decimal places)

Therefore, the arc length is approximately 32.97 meters.