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3 years ago

A regular hexagon is inscribed in a circle. If the radius of the circle is 16 cm, what is the closest area of the hexagon.

Mathematics

1 answer:

motikmotik3 years ago

5 0

Answer:

Try \\

Step-by-step explanation:

176.1

units

Explanation:

shaded

circle

−

hexagon

circle

⋅

324

We can split up the hexagon into 6 regular triangles.

hexagon

⋅

triangle

⋅

Since the triangles are regular, the base is equal to the radius,

. We can represent the height by taking one of the triangles and drawing a line down the middle. The newly formed triangle is a

−

right triangle.

You might be interested in

Find the cross product (7,9,6) x (-4,1,5). Is the resulting vector perpendicular to the given vectors

melisa1 [442]

Expand each vector as linear combinations of the standard basis vectors:

(7, 9, 6) = 7(1, 0, 0) + 9(0, 1, 0) + 6(0, 0, 1)

(-4, 1, 5) = -4(1, 0, 0) + (0, 1, 0) + 5(0, 0, 1)

For brevity, write

i = (1, 0, 0)

j = (0, 1, 0)

k = (0, 0, 1)

Then by definition of the cross product,

i x i = j x j = k x k = (0, 0, 0)

i x j = k

j x k = i

k x i = j

and for any two vectors a and b, we have a x b = - b x a.

Now compute the product:

(7i + 9j + 6k) x (-4i + j + 5k)

= -28 (i x i) - 36 (j x i) - 24 (k x i)

... + 7 (i x j) + 9 (j x j) + 6 (k x j)

... + 35 (i x k) + 45 (j x k) + 30 (k x k)

= -36 (-k) - 24 j + 7 k + 6 (-i) + 35 (-j) + 45 i

= 39 i - 59 j + 43 k

which is the same as the vector

(39, -59, 43)

And yes, this vector is perpendicular to both given vectors.

6 0

4 years ago

The Great Pyramid at Giza is a square-based pyramid with height 146 meters and a base that measures 230 meters on each side. Wha

s2008m [1.1K]

Answer:

The Volume of the Great pyramid will be "2586810 m³". A further solution is provided below.

<u>Given</u>:

Sides of length,
$s = 230m$
Height,

$h = 146.7m$
According to the formula,
The Volume (V) will be:
$= \frac{1}{3} s^{2} h$
By substituting the values, we get
$= \frac{1}{3} (230)^{2} * 146.7$
$= \frac{1}{3} *520900 *146.7$
$=\frac{1}{3} * 7760430$
$= \frac{7760430}{3}$
$= 2586810m^{3}$
Thus the above is the correct solution.

Learn more about the volume of pyramid here:
brainly.com/question/15923072