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grigory [225]
3 years ago
10

What is the area of the following circle?

Mathematics
1 answer:
valkas [14]3 years ago
4 0

Answer:

Area = 49π

Step-by-step explanation:

circle Area = π x (radius)²

Assuming d = 14 is the diameter (which the problem really should state explicitly, not leave you to assume), then the radius is half of that.

So r = 7, where 'r' is the radius.

Area = π x r² = π(7)² = π(49)

Area = 49π is the exact answer, so it is the one I prefer.

Area = 153.86 is the decimal you get if you multiply 49 x 3.14

Hope this helps.

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Which best explains why state governments are better able to focus on the needs of their citizens than the federal
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Answer:

The state governments are able to focus entirely on the citizens that live there. The federal government has to deal with wide spread, national issues, and would not provide the care and attention that the smaller state governments can.

Step-by-step explanation:

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3 years ago
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Find the length of the tangent segment AB to the circles centered at O and O' whose radii are a and b respectively when the circ
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Answer:

AB=2\sqrt{ab}

Step-by-step explanation:

From figure,

OA=a,  \quad \quad O'B=b\\\Rightarrow OO'= (a+b) \quad \quad \text{and}\quad OD=(a-b)

In triangle OO'D

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\Rightarrow (a+b)^2=(a-b)^2+(O' D)^2\\\Rightarrow a^2+b^2+2ab-a^2-b^2+2ab=(O' D)^2\\\Rightarrow 4ab=(O' D)^2\\\Rightarrow O'D=2\sqrt{ab} \\\Rightarrow O' D=2\sqrt{ab}=AB \quad \quad [\because O' DAB\;\; \text{is a rectangle.}]

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6 0
3 years ago
The formula P=a+b+c gives perimeter P of triangle side lengths a,b,and c how much greater is perimeter when triangle measures 33
seropon [69]

Answer:

41 yards greater is the perimeter of 1st triangular field than the perimeter of 2nd triangular field.

First we have to calculate the perimeter of 1st triangle.

Given:

a = 33 yards

b = 56 yards

c = 65 yards

Now we have to calculate the perimeter of 2nd triangle.

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a = 26 yards

b = 49  yards

c = 38 yards

Now we have to calculate which triangle has greater perimeter and how much greater.

Therefore, 41 yards greater is the perimeter of 1st triangular field than the perimeter of 2nd triangular field.

Step-by-step explanation:

(154-113)

41 yards bigger

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