What is the radius of a circle circumscribed about a rectangle with a length of 8 centimeters and a width of 6 centimeters?
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,
\(\implies \text{Diagonal}=\sqrt{(\text{Length})^2+(\text{width})^2}\)
\(=\sqrt{8^2+6^2}=\sqrt{64+36}=\sqrt{100}=10\)
Thus, the diameter of the circle = 10 meters
⇒ Radius of the circle = diameter/2 = 10/2 = 5 meters.