Question

An artist used silver wire to make a square that has a perimeter of 40 inches. She then used copper wire to make the largest circle that could fit in the square, as shown below. square with perimeter of 40 inches What is the area of the copper circle? Use 3.14 to represent π. Question 2 options: 3.14 inches 31.4 inches 15.7 inches 78.5 inches

Answer 1

Answer:

The area of the copper circle is 31.4 inches.

Step-by-step explanation:

Given:

An artist used silver wire to make a square that has a perimeter of 40 inches.

She then used copper wire to make the largest circle that could fit in the square, with perimeter of 40 inches.

Use 3.14 to represent π.

Now, to find the area of the copper circle.

Perimeter of square = 40 inches.

So, we get the side of square by putting formula:

$Perimeter=4\times side$

$40=4\times side$

Dividing both sides by 4 we get:

$10=side.$

$Side=10\ inches.$

Now, as the side of square is 10 inches it is the diameter of the circle as the square is fit inside the circle:

For getting the area of circle we find the radius:

Radius (r) = $\frac{Diameter}{2} \\=\frac{10}{2}= 5\ inches.$

Now, putting the formula to get the area of the circle:

$Area=2\times \pi \times r$

$Area=2\times 3.14\times 5$

$Area=31.4\ inches.$

Therefore, the area of the copper circle is 31.4 inches.