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faust18 [17]
3 years ago
12

What the hell is this they didn’t teach me this help me

Mathematics
2 answers:
Rudik [331]3 years ago
4 0

Answer:

C

Step-by-step explanation:

Area = πr^{2}

r means radius

radius = d/2

d = diameter

8 /2 = 4

4 is radius

4^{2} = 16

^ ( its 4 x 4 ) ^

so then,

Area = 16π

mezya [45]3 years ago
4 0

Answer:

Step-by-step explanation:

A=\pi r^2,\ r=\frac{d}{2}\\ \\ A=\frac{\pi d^2}{4},\ d=8cm\\ \\ A=\frac{64\pi}{4}\\ \\ A=16\pi cm^2

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Brums [2.3K]

The area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2 option first is correct.

It is given that a circle is inscribed in a regular hexagon with sides of 10 feet.

It is required to find the shaded area (missing data is attached shown in the picture).

<h3>What is a circle?</h3>

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

We have a hexagon with a side length of 10 feet.

We know the area of the hexagon is given by:

\rm A = \frac{3\sqrt{3} }{2} a^2  where a is the side length.

\rm A = \frac{3\sqrt{3} }{2} 10^2 ⇒ 150\sqrt{3} \rm feet^2

We have the shortest length = x feet and from the figure:

2x = 10

x = 5 feet

The radius of the circle r = longer leg

\rm r = x\sqrt{3} \Rightarrow 5\sqrt{3} feet

The area of the circle a = \pi r^2  ⇒ \pi (5\sqrt{3} )^2 \Rightarrow 75\pi \ \rm feet^2  

The area of the shaded region = A - a

\rm =(150\sqrt{3} \ - 75\pi ) \ feet^2

Thus, the area of the shaded region is  \rm (150\sqrt{3} \ - 75\pi ) \ feet^2

Learn more about circle here:

brainly.com/question/11833983

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2 years ago
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