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A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
A day full of math games & activities. Find one near you.
Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.
Solution:
A regular hexagon with an apothem 10.4 yards long and a side 12 yards long.
The area of the regular hexagon has to be found.
As the hexagon provided is a regular hexagon, each side makes an equal angle with the midpoint.
Area of each triangle = 1/2× base × height
Base = 12 yards
Height = 10.4 yards
Area of each triangle = 1/2 × 12 × 10.4 = 62.4
As there are 6 triangles
Area of hexagon = 6 × Area of a triangle
= 6 × 62.4
= 374.4 yards2
Therefore, the area of a regular hexagon is 374.4 yards2.
Find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. Round your answer to the nearest tenth.
Summary:
The area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long is 374.4 yards2.