b. The cross sectional area of a cylindrical pin is 38.1 cm2. The pin has a removed segment. If the height of the segment is 7% of the circumference, find the area of the removed segment.

To find the area of the removed segment, we need to follow these steps:

Step 1: Calculate the circumference of the cylindrical pin.
The formula for the circumference of a circle is given by:
C = 2πr,
where C is the circumference and r is the radius.

For a cylindrical pin, the cross-sectional area is given as 38.1 cm^2. We can find the radius using the formula for the area of a circle:
A = πr^2,
where A is the area and r is the radius.

Rearranging the formula, we get:
r = √(A/π).

Substituting the given area into the formula, we can find the radius.

Step 2: Calculate the height of the segment.
The height of the segment is given as 7% of the circumference. To find the height, we use the formula:
h = C * (7/100).

Substituting the value of the circumference, we can calculate the height of the segment.

Step 3: Calculate the area of the removed segment.
The area of the removed segment can be found using the formula:
A_segment = (C * h) / 2.

Substituting the calculated values of the circumference and height, we can find the area of the removed segment.

Let's go ahead and perform these calculations:

Step 1: Calculate the circumference:
Given that the cross-sectional area of the cylindrical pin is 38.1 cm^2, we can calculate the radius using the formula:
r = √(38.1/π).

Step 2: Calculate the height of the segment:
The height of the segment is 7% of the circumference, so we can calculate it as follows:
h = C * (7/100).

Step 3: Calculate the area of the removed segment:
To find the area of the removed segment, we use the formula:
A_segment = (C * h) / 2.

By substituting the calculated values of the circumference and height into the formula, we can find the area of the removed segment.