The area of a regular hexagon can be found using the formula: A = (3√3 * s^2)/2, where s is the length of one side of the hexagon.
In this case, the radius of the hexagon is given as 5 inches. Since the hexagon is regular, the radius is also equal to the length of one side (s).
Substituting s = 5 into the formula, we have: A = (3√3 * 5^2)/2
Simplifying, we get: A = (3√3 * 25)/2 = (75√3)/2 = 37.5√3.
To find the decimal approximation, we can multiply by the approximate value of √3, which is approximately 1.732.
So, A ≈ 37.5 * 1.732 ≈ 65.0.
Therefore, the area of the regular hexagon is approximately 65.0 square inches.
The closest answer choice is D. 53.0 In, but this is not the correct answer.
Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a radius of 5 in.
(1 point)
A.65 ln.^ 2
B.129.9in .^ 2
C.259 * 8in .^ 2
D.53.0 In
1 answer