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What is the perimeter of a hexagon with an apothem of 12?
The perimeter of a hexagon with an apothem of 12 is 83.14
The diagram below shows a rectangle inside a regular hexagon the apothem of the hexagon is 15.59unit what is the area of the shaded region?
To find the area of the shaded region, we first need to calculate the area of the regular hexagon using the formula ( A_{hexagon} = \frac{3\sqrt{3}}{2} \times a^2 ), where ( a ) is the apothem. Given that the apothem is 15.59 units, the area of the hexagon is approximately ( A_{hexagon} = \frac{3\sqrt{3}}{2} \times (15.59)^2 \approx 610.23 ) square units. The area of the rectangle must be determined separately, and the area of the shaded region is found by subtracting the rectangle's area from the hexagon's area. Without the dimensions of the rectangle, the exact area of the shaded region cannot be calculated.
The diagram below shows a rectangle inside a regular hexagon the apothem of the hexagon is 15.59 units to the nearest square unit what is the area of the shaded region?
To find the area of the shaded region (the rectangle inside the hexagon), we first calculate the area of the hexagon using the formula ( \text{Area} = \frac{3\sqrt{3}}{2} \times a^2 ), where ( a ) is the apothem. Given that the apothem is 15.59 units, the area of the hexagon is approximately ( \frac{3\sqrt{3}}{2} \times (15.59^2) \approx 609.67 ) square units. Assuming the rectangle’s area is not specified, the shaded area would be the hexagon's area minus the rectangle's area. If the rectangle's area is provided, subtract it from the hexagon's area to find the shaded region's area.
How do you find the area of a regular hexagon whose apothem is 1.7cm and side length is 2cm?
To find the area of a regular hexagon, you can use the formula: Area = (Perimeter × Apothem) / 2. The perimeter of the hexagon is 6 times the side length, so for a side length of 2 cm, the perimeter is 12 cm. Substituting the values into the formula gives: Area = (12 cm × 1.7 cm) / 2 = 10.2 cm². Thus, the area of the hexagon is 10.2 cm².
What is the perimeter of a hexagon having 225 cm square area of a circle inscribed in it?
Area of circle = 225 cm2 implies radius = 8.46 cm (approx) Therefore, apothem of hexagon = 8.46 cm then side of hexagon = apothem*2/sqrt(3) = 9.77 cm (approx) and so perimeter = 6*side = 58.63 cm
What is the perimeter of a hexagon with an apothem of 12?
The perimeter of a hexagon with an apothem of 12 is 83.14
Find the area of a regular hexagon with a base of 10 and an apothem of 12?
14
What is the apothem of a regular hexagon?
If the hexagon has side length s, then the apothem is sqrt(3) * s / 2.
The diagram below shows a rectangle inside a regular hexagon the apothem of the hexagon is 15.59unit what is the area of the shaded region?
To find the area of the shaded region, we first need to calculate the area of the regular hexagon using the formula ( A_{hexagon} = \frac{3\sqrt{3}}{2} \times a^2 ), where ( a ) is the apothem. Given that the apothem is 15.59 units, the area of the hexagon is approximately ( A_{hexagon} = \frac{3\sqrt{3}}{2} \times (15.59)^2 \approx 610.23 ) square units. The area of the rectangle must be determined separately, and the area of the shaded region is found by subtracting the rectangle's area from the hexagon's area. Without the dimensions of the rectangle, the exact area of the shaded region cannot be calculated.
The diagram below shows a rectangle inside a regular hexagon the apothem of the hexagon is 15.59 units to the nearest square unit what is the area of the shaded region?
To find the area of the shaded region (the rectangle inside the hexagon), we first calculate the area of the hexagon using the formula ( \text{Area} = \frac{3\sqrt{3}}{2} \times a^2 ), where ( a ) is the apothem. Given that the apothem is 15.59 units, the area of the hexagon is approximately ( \frac{3\sqrt{3}}{2} \times (15.59^2) \approx 609.67 ) square units. Assuming the rectangle’s area is not specified, the shaded area would be the hexagon's area minus the rectangle's area. If the rectangle's area is provided, subtract it from the hexagon's area to find the shaded region's area.
What is the area of a regular hexagon with apothem length of 24 inches?
For a regular hexagon, half the side length can be calculated from the apothem via trigonometry: half_side_length = apothem x tan 30° Then: area = apothem x 1/2 x perimeter = apothem x 1/2 x side_length x 6 = apothem x half_side_length x 6 = 24 in x (24 in x tan 30°) x 6 ≈ 1995 sq in
What is the Area of a regular hexagon with a base of 10 and an apothem of 20?
12 x 5 x 20 ie 1200squnits. I'm not convinced you can have such a hexagon, if the side is 10 then shouldn't the apothem have to be 5 root 3?
Find the area of the regular hexagon described in the question above?
Let s be the length of a side of the hexagon and let h be the the apothem 6(1/2sh) it the area of 3sh.
What is the area of a regular hexagon if each sides is 11m the apothem is 9m and the radius is 10m?
297 M
How do you find the area of a regular hexagon whose apothem is 1.7cm and side length is 2cm?
To find the area of a regular hexagon, you can use the formula: Area = (Perimeter × Apothem) / 2. The perimeter of the hexagon is 6 times the side length, so for a side length of 2 cm, the perimeter is 12 cm. Substituting the values into the formula gives: Area = (12 cm × 1.7 cm) / 2 = 10.2 cm². Thus, the area of the hexagon is 10.2 cm².
What is the area of a regular hexagon with a side of 4 and an apothem of 3 46?
Easy. Since the side is the base and the apothem is the height of the triangle, multiply them and divide by two to get the area of the triangle. 3 * 3.46 = 10.38 /2 = 5.19. Then multiply by 6 to get the area of the hexagon. 5.19 * 6 = 31.14. You multiply by 6 because you can fit 6 regular triangles in a regular hexagon. We've already found the area of one regular triangle in the hexagon.
What is the perimeter of a hexagon having 225 cm square area of a circle inscribed in it?
Area of circle = 225 cm2 implies radius = 8.46 cm (approx) Therefore, apothem of hexagon = 8.46 cm then side of hexagon = apothem*2/sqrt(3) = 9.77 cm (approx) and so perimeter = 6*side = 58.63 cm
A regular hexagon has an apothem length of 14 m. What is the area of the hexagon Round to the nearest whole number?
It is 679 square metres.
Hexagonal prism volume?
the formula to find the area of any prism is to find the area of the base (a regular hexagon, meaning that all sides and angles are the same) and multiply by the height of the prism. To find the area of a hexagon you multiply the apothem by the perimeter of the hexagon, and then divide that by 2. the apothem is a line from the center point to the center of any side, forming a right angle with a side, it doesn't matter which one. Once you find the area of the hexagon, multiply it with the height.
What is the side length of a regular hexagon with area 100 square centimeters?
5.7735026918962... The formula for the area of a hexagon is A=.5ap, or A=(1/2)ap, where A=area, a=apothem, and p=perimeter. This means that, because the area is 100, 100=.5ap, so 200=ap. Because in a regular hexagon the apothem is equal to the side length, what we are really saying here is that 200=6a2. Therefore, 33.333=a2, or a= about 5.77. This is the side length.
What is the area of a regular hexagon with a side length of 2 centimeter and an apothem length of 10.4 centimeters?
Such a hexagon is impossible. A regular hexagon with sides of 2 cm can have an apothem of sqrt(3) cm = approx 1.73.It seems you got your question garbled. A regular hexagon, with sides of 2 cm, has an area of 10.4 sq cm. If you used your measurement units properly, you would have noticed that the 10.4 was associated with square units and it had to refer to an area, not a length.
What is the area of a regular hexagon with a side length of 8.1 yards and an apothem length of 7 yards?
The area of a regular hexagon can be calculated using the formula: ( \text{Area} = \frac{1}{2} \times \text{Perimeter} \times \text{Apothem} ). For a hexagon with a side length of 8.1 yards, the perimeter is ( 6 \times 8.1 = 48.6 ) yards. Plugging in the values, the area is ( \frac{1}{2} \times 48.6 \times 7 = 170.1 ) square yards. Thus, the area of the hexagon is 170.1 square yards.
Area of the regular hexagon whose side length is 16 in and apothem is 8 square root 3 in?
It is 665.1 sq inches.
What is the apothem of a inscribed regular hexagon with a radius of 20 inches?
The apothem of a regular hexagon can be calculated using the formula ( a = r \cdot \cos(\frac{\pi}{6}) ), where ( r ) is the radius. For a hexagon inscribed in a circle with a radius of 20 inches, the apothem becomes ( a = 20 \cdot \cos(30^\circ) = 20 \cdot \frac{\sqrt{3}}{2} = 10\sqrt{3} ) inches. Therefore, the apothem of the hexagon is approximately 17.32 inches.
What is the area of a regular hexagon with a perimeter of 36 inches and an apothem of 5.2 inches?
Given the perimeter of a regular hexagon, it is better to use the side length: 6 inches, rather than the apothem of 5.2 inches because the latter is he rounded value of 3*sqrt(3) which is 5.196152... rather than 5.2. Based on the length of the sides, the area is approx 93.53 sq inches. [The apothem would have given 93.67 sq inches.]
