Find the length of the intercepted arc with radius 2.5 cm and a central angle of 95 degrees

I will assume that the arc is in a circle

Circumference of whole circle = 2πr = 2π(2.5) or 5π cm
so your arc is (95/360)(5π) cm = 95π/72 cm

To find the length of the intercepted arc, you can use the formula:

Arc Length = (Central Angle / 360 degrees) * (2 * π * Radius)

In this case, the radius is given as 2.5 cm and the central angle is given as 95 degrees.

Plugging in these values into the formula:

Arc Length = (95 / 360) * (2 * π * 2.5)

Now, let's calculate:

Arc Length = (95 / 360) * (2 * 3.14 * 2.5)
Arc Length = (0.2639) * (15.7)
Arc Length ≈ 4.141 cm

Therefore, the length of the intercepted arc is approximately 4.141 cm.