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Pavel [41]
2 years ago
15

The circumference of a circle is 6π m. What is the area, in square meters? Express your answer in terms of

Mathematics
2 answers:
Leni [432]2 years ago
8 0

Answer:

9π meters

Step-by-step explanation:

SInce 6π is the circumference of the circle, 6π would be the diameter.

We need to then convert 6π into the radius which we can do by dividing 6π by 2 to get 3π.

The formula for the area of a circle is πr^2. Plug in the previous result for the radius to get the following:

π3^2

9π

Tanya [424]2 years ago
7 0

Answer:

Area=9π m²

Step-by-step explanation:

Hi there!

We are given that the circumference of a circle is 6π meters, and we want to find the area of the circle

The formula to find the circumference of a circle is 2πr, where r is the radius

The formula to find the area of a circle is πr², where r is the radius

So we need to find the radius

As 6π and 2πr both equal the circumference of the circle, 6π is equal to 2πr. This is possible by a property known as  transitivity (if a=b and b=c, then a=c) .

As an equation, the result is:

6π=2πr

Divide both sides by 2π

3=r

So the radius is 3 meters

Now, substitute 3 as the radius in πr² to find the area

A=πr²

A=π(3)²

Raise 3 to the second power, which is the same as multiplying it by itself

A=π*9

A=9π m²

Hope this helps!

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8 0
3 years ago
What is the surface area of a rectangular prism that measures 12 meters by 11 meters by 9 meters
stich3 [128]
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7 0
3 years ago
What is vertex of x^2+5x-3
Art [367]

\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}

\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25

\text{Answer: the vertex is in}\ (-2.5;\ -9.25)

6 0
3 years ago
What is the slope of the line passing through the points (-3,<br> -5) and (-1, - 6)?
Ira Lisetskai [31]

Answer:

-1/2

Step-by-step explanation:

We can find the slope using the slope formula

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   = ( -6 - -5)/( -1 - -3)

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3 0
3 years ago
Read 2 more answers
HELP PLEASEEEE!!!!!!!!
nikdorinn [45]
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