Question

Nami is adding a mosaic pattern to the top of a small round table.the distance around the edge of the table top is 4.7 feet .what is the area nami need

Answer 1

Given, Nami is adding a mosaic pattern to the top of a small round table.

Given, the distance around the edge of the table top is 4.7 ft.

That means the circumference given is 4.7 ft.

We know that the formula to find circumference is $C = 2\pi r$

Where, C = circumference, r = radius.

Here to get the area first we will find the radius of it. So we will substitute the value of circumference in the formula. We will get,

$4.7 = 2\pi r$

To get r, we will move $2\pi$ to the left side by dividing it to both sides. We will get,

$\frac{4.7}{(2\pi) } = \frac{(2\pi r )}{(2\pi) }$

$\frac{4.7}{(2\pi) } = r$

$0.748 = r$ ( Approximately taken upto three decimal place)

So we have got the radius here. Radius is 0.748 ft. We will have to find the area now. We know that the formula to find the area is,

$A = \pi r^2$, where A = area, r = radius.

By substituting the value of r we will get,

$A = \pi (0.748)^2$

$A = 1.76$ (Approximately taken upto two decimal place)

So the area Nami needed = 1.76 square ft.

We have got the required answer here.