Answer:
496.7 square units
Explanation:
A regular polygon is a polygon with equal side lengths and equal interior angles, meaning all of its sides and angles are congruent.
The radius of a regular polygon is the distance from the center of the polygon to any of its vertices.
The given figure is a regular decagon (10-sided figure) with a radius of 13 units.
To find the area of a regular polygon given its radius, use the following formula:

Substitute n = 10 and r = 13 into the formula and solve for A:




Therefore, the area of a regular decagon with a radius of 13 units is 496.7 square units (to the nearest tenth).