Circling a Regular Pentagon with Straightedge and Compass in Euclidean Geometry

“Circling The Regular Pentagon” is possibly used to describe a new challenge problem that comes from the exact solution for another new challenge problem “Circling the SQUARE”, published in January 2024 in the International Journal of Mathematics Trends and Technology (IJMTT). "Circling The SQUARE" means constructing a circle that has the exact area of the given square”. Therefore, the “Circling the Regular Pentagon” problem challenge has not existed in the mathematics field until it is solved and published nowadays. This paper, then, provides an exact solution to construct a circle that has the same area as a given regular pentagon. The solution does not use the number  and suits the exact constraint of Euclidean Geometry by straightedge & compass.