# Find the arc length equal to 0.4 times the circumference of a circle with a radius of 2.5 cm.

September 12, 2021 | education

| In order to find the length of the arc, we need to find the length of the original circle. There is a formula for this:

l = 2πr

Where:

l is the circumference;

π – constant equal to 3.14;

r is the radius of the circle.

From the problem statement, we know that the radius of this circle is 2.5 centimeters. Knowing this, we can find the length of a given circle:

l = 2πr = 2 * 3.14 * 2.5 = 15.7 centimeters

Now we need to find the arc length, which is 0.4 of the arc length of the original circle:

larcs = l * 0.4 = 15.7 * 0.4 = 6.28 centimeters

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