Question

What is the radius of a circle circumscribed about a rectangle with a length of 8 centimeters and a width of 6 centimeters?

Answer 1

Look at the picture.

Answer 2

Answer: 5 meters.

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}`

`=√(8^2+6^2)=√(64+36)=√(100)=10`

Thus, the diameter of the circle = 10 meters

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