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kow [346]
4 years ago
11

Find the circumference and area of a circle with diameter 12 ft. Express your answer in terms of pie

Mathematics
1 answer:
xz_007 [3.2K]4 years ago
4 0

Answer:

Circumference: 12π

Area: 36π

Step-by-step explanation:

The equation for the circumference of a circle is:

C = πd

Where C is the circumference and d is the diameter. Knowing this, we will be able to find the circumference by pugging in 12 for d.

C = 12π

And now we have found the circumference of the circle.

The equation for the area of a circle is:

A = πr²

Where A is the area and r is the radius. Remember that the diameter is double the radius, so we can find the radius:

12 = 2r

r = 6

Now that we know r, we can find the area of the circle:

A = π(6)²

A = 36π

Now we have found the area.

So the circumference is 12π and the area is 36π.

I hope you find my answer and explanation to be helpful. Happy studying.

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Which is the equation of a line that has a slope of -2/3 and passes through point (-3, -1)? y=-2/3x+1.
bazaltina [42]

Answer:

y = -2/3x - 3

Step-by-step explanation:

First, write the equation using the slope. It should look like this: y = -2/3x + b. Next, find the y intercept by plugging in the point. This is what it looks like: -1 = -2/3(-3) + b. Multiply -2/3 by -3 to get 2. This is what it should look like now: -1 = 2 + b. Subtract 3 from both sides to get -3 = b. Go back to your original equation and plug in -3 for b. This is your final equation:

y = -2/3x - 3

Hope this helped! :)

7 0
3 years ago
Mr. Bell wants to plant a rectangular garden in his backyard. He has 100 feet of fence to
vovangra [49]

Answer:

The dimensions of the garden are 22.5ft by 27.5ft

Step-by-step explanation:

Here, we want to calculate the dimensions of the garden.

let the length be x ft

we are told that the he wants the length to be 5 feet more than the width;

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Mathematically;

Since the shape is rectangular, the perimeter will be 2( l + w)

Thus; 2(x + x-5) = 100

2(2x-5) = 100

divide both sides by 2

2x-5 = 50

2x = 50 + 5

2x = 55

x = 55/2

x = 27.5 ft

The width is thus; 27.5ft - 5ft = 22.5ft

the dimensions of the garden are 27.5 ft by 22.5 ft

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3 years ago
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Nesterboy [21]
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Answer:

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Look at the picture.

The union of two sets A and B (A ∪ B) is the set of elements which are in A, in B, or in both A and B

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