Given a circle with radius of 2, which is the degree measure of an arc whose length is 1/2 pie ?

Formula to find the arc length is:

So, if we want to measure the central angle then it will be:

Where, s= arc length,

r = radius of the circle

= central angle in degrees.

According to the given problem, and r = 2.

So, first step is to plug in these values in the above formula.

π has been cancel out from both top and bottom.

=45

So, measure of central angle is 45°.

54.864 meters

step-by-step explanation: