versace4376 versace4376
  • 20-02-2020
  • Mathematics
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If the area of a circle is four times larger than the circumference of that same circle, what is the diameter of the circle?

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windyyork windyyork
  • 20-02-2020

Answer: The diameter of the circle is 20 cm.

Step-by-step explanation:

Since we have given that

Area of circle = 4 times larger than the circumference of that same circle.

Mathematically, it is expressed as

[tex]\pi r^2=5\times 2\pi r\\\\\pi r^2=10\pi r\\\\r=10\ cm\\\\Diameter=2\times radius\\\\Diameter=2\times 20\\\\Diameter=20\ cm[/tex]

Hence, the diameter of the circle is 20 cm.

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