Find the shaded area in the octagon
1 answer:
See attached graphic.
Triangle ABC is a 45 45 90 triangle.
Side AB = Side BC = hypotenuse * (1 / sq root (2) )
SIde AB = BC = 10 * <span> <span> <span> 0.7071067812 </span> </span> </span>
SIde AB = BC = <span>7.071067812
Area of Triangle ABC = (AB * BC) / 2</span><span>
Area of Triangle ABC = 25
</span><span>Area of Triangle DEF = 25
Line FB = 10
Line FD = </span><span>7.071067812
Area of Rectangle FBDA = </span><span>70.71067812
Total Area of Shaded Area = 25 + 25 + </span><span>70.71067812 =
120.</span><span>71067812
</span>
Triangle ABC is a 45 45 90 triangle.
Side AB = Side BC = hypotenuse * (1 / sq root (2) )
SIde AB = BC = 10 * <span> <span> <span> 0.7071067812 </span> </span> </span>
SIde AB = BC = <span>7.071067812
Area of Triangle ABC = (AB * BC) / 2</span><span>
Area of Triangle ABC = 25
</span><span>Area of Triangle DEF = 25
Line FB = 10
Line FD = </span><span>7.071067812
Area of Rectangle FBDA = </span><span>70.71067812
Total Area of Shaded Area = 25 + 25 + </span><span>70.71067812 =
120.</span><span>71067812
</span>
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<u>Given</u>:
Given that the radius of the cylinder is 4 cm.
The height of the cylinder is 9 cm.
We need to determine the volume of the cylinder.
<u>Volume of the cylinder:</u>
The volume of the cylinder can be determined using the formula,
where r is the radius and h is the height of the cylinder.
Substituting π = 3.14, r = 4 and h = 9 in the above formula, we get;
Thus, the volume of the cylinder is 452.16 cm³
Hence, Option B is the correct answer.