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I am Lyosha [343]
3 years ago
14

I need to find the circumference of this shape for #31

Mathematics
1 answer:
Strike441 [17]3 years ago
4 0

Answer:

Step-by-step explanation:

Assumptions

This isn't drawn exactly to scale I don't think. I also think you are intended to believe that the inscribed figure is a rectangle, but that is a huge assumption.

If I'm right and that is a rectangle then the diagonal of the rectangle is also the  diameter of the circle.

A diameter is also the hypotenuse of the two triangles formed by cutting the rectangle in half.

So let's go on.

Step One

Find the diagonal / hypotenuse.

a = 8 in

b = 6 in

c = ?

c^2 = a^2 + b^2

c^2 = 8^2 + 6^2

c^2 = 64 + 36

sqrt(c^2) = sqrt(100)

c = 10

Step 2

Find the radius of the circle

2*r = d

d = 10

2*r = 10

r = 10/2

r = 5

Step two

Find the circumference.

Circumference = 2*pi * r

Circumference = 2* pi * 5

Circumference = 10*pi      <<<<        Answer

That is one possibility for an answer

The other is to use 3.14 for pi

Circumference = 2*5*3.14 = 31.4  <<<< Answer

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a A hole in the shape of a hemisphere is carved into each face of a cube. The holes are identical and centered at the centre of
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Which of these strategies would eliminate a variable in the system of equations ?
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Answer:

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MArishka [77]
Let the number of 250g=0.25  kg jars be x and that of 500g=0.5 kg jams be y;
therefore:
total number of jars ws
x+y=511
x=511-y..........i

total mount kgs was:
0.25x+0.5y=186.5....ii
substituting i in ii
0.25(511-y)+0.5y=186.5
127.75-0.25y+0.5y=186.5
solving for y we get:
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hence we conclude that there was 235 jars with 0.5 kg almond and 276 jars with 0.25 kg almonds
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