The area of a circle is calculated using the formula
. Substituting the given radius of 2.5 into the formula, the area is approximately 19.6 square units, rounded to the nearest tenth.
To find the area of a circle, the formula is
, where
is the area,
is the mathematical constant (approximately 3.14), and \(r\) is the radius of the circle. Given that the radius
is 2.5, we can substitute this value into the formula.
![\[A = 3.14 * (2.5)^2\]](https://img.qammunity.org/2024/formulas/mathematics/college/w9pzqep73z8unymvex64ia8o1rxc96r59b.png)
Calculating this expression:
![\[A = 3.14 * 6.25\]](https://img.qammunity.org/2024/formulas/mathematics/college/466ngu9648x27588w0ul6hpdma9ke9bbxn.png)
![\[A = 19.625\]](https://img.qammunity.org/2024/formulas/mathematics/college/e7uao3zbsnktw5l5ecg9w4u0nz5tttugeu.png)
Therefore, the area of the circle is approximately 19.625 square units. Since the question asks to round to the nearest tenth, we round 19.625 to 19.6.
In summary, the area of the circle with a radius of 2.5 units is approximately 19.6 square units.