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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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(-5)^2-2x(-9)+6<br> Please show work and step by step.
Varvara68 [4.7K]

Answer:

<h2>49</h2>

Step-by-step explanation:

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

==============================================

(-5)² - 2 × (-9) + 6          <em>first </em><em>E</em><em>xponents</em>

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We increased three meters to both the length and width of the garden.
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Read 2 more answers
The time, t, required to complete a job
tigry1 [53]

Answer:

19 hrs

Step-by-step explanation:

t varies inversely with number of people p

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Recall t = k/p

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