Final answer:
To find the area of the region inside the circle r = cos 5, we need to make a sketch of the region and its bounding curves and then integrate the expression r^2 with respect to theta from 0 to 2pi.
Step-by-step explanation:
To find the area of the region inside the circle r = cos 5, we need to first make a sketch of the region and its bounding curves. The equation r = cos 5 represents a circle with a radius equal to the cosine of 5 degrees. The center of the circle is at the origin (0, 0) and the radius extends in all directions.
Next, we need to calculate the area of the region inside the circle. We can do this by integrating the expression r^2 with respect to theta from 0 to 2pi. The integral of r^2 d(theta) represents the area enclosed by the curve.
Finally, we can evaluate the integral to find the area of the region inside the circle. The result will be a numerical value which represents the area of the region in square units.