Question

The diameter of a circular braided rug is 8 feet.Which choice best approximates the area coveredby the rug?A. 50 ft²B. 25 ft2C. 64 ft2D. 16 ft2

Answer 1

A. 50 ft^2

EXPLANATION :

Recall the area formula of a circle :

`A=\pi r^2`

where r = radius

From the problem, the diameter of the rug is 8 feet.

Note that the radius is half of the diameter, so the radius is r = 8/2 = 4

Using the formula above :

`\begin{gathered} A=\pi(4)^2 \\ A=50.3\sim50\text{ }ft^2 \end{gathered}`