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3 years ago

The circumference of a circle is 9π m. What is the area, in square meters? Express your answer in terms of π π

Mathematics

1 answer:

storchak [24]3 years ago

5 0

Answer:

A = 20.25π sq meters

Step-by-step explanation:

C = 2πr

9π = 2πr

divide π from each side to get:

9 = 2r

r = 9/2 or 4 1/2

A = πr²

A = π (4.5²)

A = 20.25π

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Nonamiya [84]

Answer:

Option C. Yes; y=2x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form $k=\frac{y}{x}$ or $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem

For x=0, y=0

That means ----> the line passes through the origin

<em>Find the value of k</em>

For x=2, y=4

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3 years ago

He dimensions are tripled. The new surface area would be times larger than the original surface area.

ddd [48]

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

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3 years ago

Which line is parallel to y = -4x + 8?

Musya8 [376]

Y = -4x + 3
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