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brilliants [131]
3 years ago
9

The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π?

Mathematics
1 answer:
miss Akunina [59]3 years ago
7 0

Answer:  7.5²π   square centimeters.  OR  56.25π cm²

Step-by-step explanation:

Circumference = diameter × π

So the diameter is 15 cm

Area = πr²

Radius is half the diameter, so 15/2 or 7.5

Area = (15/2)²π cm²  

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<img src="https://tex.z-dn.net/?f=%5Ctext%7BSolve%20for%20x%3A%7D%5C%5C%5C%5C3x%20%2B%2054%20%3D%20180" id="TexFormula1" title="
vagabundo [1.1K]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

x = 42

»»————- ★ ————-««  

Here’s why:  

  • We will use inverse operations to solve for 'x'.

⸻⸻⸻⸻

\boxed{\text{Calculating the Answer....}}\\\\3x+54=180\\----------\\\rightarrow 3x + 54 - 54 = 180-54\\\\\rightarrow 3x = 126\\\\\rightarrow\frac{3x=126}{3}\\\\\rightarrow\boxed{x=42}

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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