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Vera_Pavlovna [14]
3 years ago
13

Express the area of a circle, a, as a function of its circumference, c.

Mathematics
1 answer:
Naddika [18.5K]3 years ago
7 0
Area = PI * radius^2

Circumference = 2 * PI * radius
radius = Circumference / 2 * PI

So, Area = PI * (Circumference / 2 *PI) * (Circumference / 2 *PI)
So, Area = Circumference^2 / (4*PI)

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The length of a rectangle is x feet more than its width. The area of the rectangle is 5x + 25. What is the width of the rectangl
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w = l + \frac{25 - l^{2}}{l - 5}

(Anyone can correct me if I'm wrong)

Step-by-step explanation:

Before we start the solving, we can make the following statements:

Area = l x w

Area = 5x + 25

therefore,

l x w = 5x + 25

Since the question states that the length is x more than the width, so we can make the following statement:

w = l + x

With this, we can substitute it to the first statement we made, l x w = 5x + 25,

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w = l + \frac{25 - l^{2}}{l - 5}

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