Find the area of a regular hexagon with side length of 10 centimeters. Round to the nearest tenth.
To quote one of our very good math and science tutors: “You will find here at Jiskha that long series of questions, posted with no evidence of effort or thought by the person posting, will not be answered. We will gladly respond to your future questions in which your thoughts are included.”
To find the area of a regular hexagon, we can use the formula:
Area = (3 * sqrt(3) * s^2) / 2
Where s is the length of a side of the hexagon.
In this case, the side length is given as 10 centimeters.
Plugging this value into the formula, we have:
Area = (3 * sqrt(3) * 10^2) / 2
First, let's square the side length:
10^2 = 100
Now, let's calculate the square root of 3:
sqrt(3) ≈ 1.732
Next, let's substitute the values into the formula:
Area = (3 * 1.732 * 100) / 2
Now, let's simplify the expression:
Area = (3.464 * 100) / 2
Area = 346.4 / 2
Area = 173.2
Therefore, the area of the regular hexagon with a side length of 10 centimeters is approximately 173.2 square centimeters when rounded to the nearest tenth.