ShariPafel413
ShariPafel413 ShariPafel413
  • 21-05-2015
  • Mathematics
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What is the radius of a circle circumscribed about a rectangle with a length of 8 centimeters and a width of 6 centimeters?

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naǫ
naǫ naǫ
  • 22-05-2015
Look at the picture.
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parmesanchilliwack parmesanchilliwack
  • 26-03-2019

Answer:  5 meters.

Step-by-step explanation:

When a circle circumscribed about a rectangle,

Then the diameter of the circle = Diagonal of the rectangle,

Here, the length of the rectangle = 8 cm,

And, the width of the rectangle = 6 cm,

[tex]\implies \text{Diagonal}=\sqrt{(\text{Length})^2+(\text{width})^2}[/tex]

[tex]=\sqrt{8^2+6^2}=\sqrt{64+36}=\sqrt{100}=10[/tex]

Thus, the diameter of the circle = 10 meters

⇒ Radius of the circle = diameter/2 = 10/2 = 5 meters.

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