Respuesta :

Answer:

Circumference: 75.36 yards
Area: 452.16 yards²

Step-by-step explanation:

Concepts

The circumference of a circle is the perimeter/distance around the circle. It can be represented as the formula 2πr, where r = radius. The area of a circle is the amount of space in the circle and is represented as πr².

Application

We are given the radius of the circle as 12 yards, and we need to find the area and circumference. Now, we just apply the formulas and simplify! Remember, we also need to keep π as 3.14.

Solution

Circumference

  • [tex]2*3.14*12\\[/tex]
  • [tex]6.28*12[/tex]
  • 75.36 yards

Area

  • [tex]3.14*12^2[/tex]
  • [tex]3.14*144[/tex]
  • 452.16 yards²
az0714

Answer:

452.16 yd^2 (Area)

75.36 yd (Perimeter)

Step-by-step explanation:

Let's review:

To solve for the area of a circle we use the formula [tex]\pi r^{2}[/tex]

To solve for the perimeter of a circle we use the formula [tex]2\pi r[/tex]

1. To solve for the area, we plug in 12 for [tex]r[/tex], we should get [tex]\pi(12)^{2}[/tex]. We then replace [tex]\pi[/tex] with 3.14... [tex](3.14)(12^{2})[/tex] we get [tex]452.16[/tex] [tex]yd ^{2}[/tex]

2. To solve for the perimeter, we plug in 12 for [tex]r[/tex], we should get [tex]2\pi(12)[/tex]. We then replace [tex]\pi[/tex] with 3.14... [tex]2(3.14)(12)[/tex] we get [tex]75.36[/tex] [tex]yd[/tex]