Find the area of a square circumscribed around a circle of radius 39.
August 29, 2021 | education|
Since the square is circumscribed around a circle, the circle is inscribed.
The area of a square can be found through the radius of the inscribed circle using the formula:
S = 4 * r ^ 2,
where S is the area of the square, r is the radius of the circle around which the square is described.
Substitute the known value of the inscribed circle radius into the formula and find the area of the square:
S = 4 * (39 ^ 2) = 4 * 1521 = 6084 (conventional square units).
Answer: S = 6084 conventional square units.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.