The length of an arc of a circle is the product of the measure of the arc divided by 360 and the circumference of the circle.
length of AB=mAB/360 * 2π r
Therefore, to find the length of the desired arc we first need to find its measure. The measure of a minor arc is equal to the measure of its corresponding central angle. We are told that the central angle of the desired arc is 90^(∘). Therefore, its corresponding arc measures 90^(∘).
We can also see that the radius of the circle is 6 centimeters. If we let A and B be the endpoints of our arc, we can substitute m AB= 90 and r=6 in the formula for arc length and simplify.
