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 that nami needs to cover with mosaic pattern

Respuesta :

Answer:

The area is 1.75 ft².

Step-by-step explanation:

1. You have that the distance around the edge of the table top is 4.7 feet, which is the circumference of the circle.

2. You must find the radius from the formula of the circumference of a circle, which is:

[tex]C=2r\pi[/tex]

Where [tex]r[/tex] is the radius.

3. Now, you must solve for the radius:

[tex]r=\frac{C}{2\pi}\\r=\frac{4.7ft}{2\pi}\\r=0.748ft[/tex]

4. Then, the area of the circle is:

[tex]A=r^{2}\pi\\A=(0.748)^{2}(\pi)\\A=1.75ft^{2}[/tex]