The center circle on a soccer field has a radius of 9 yards. What is the area of the center circle? Use 3.14 for pie

Respuesta :

Answer:

[tex]\boxed {\boxed {\sf 254.34 \ yd^2}}[/tex]

Step-by-step explanation:

The area of a shape is the space occupied by the surface of an object. The area of a circle can be calculated using the following formula.

[tex]a= \pi r^2[/tex]

The radius (r) of the center circle on the soccer field is 9 yards. We are asked to use 3.14 for pi.

  • r= 9 yd
  • π= 3.14

Substitute these values into the formula.

[tex]a= (3.14)(9 \ yd)^2[/tex]

Solve the exponent.

  • (9 yd)² = 9 yd * 9 yd = 81 yd²

[tex]a= (3.14)(81 \ yd^2)[/tex]

Multiply.

[tex]a= 254.34 \ yd^2[/tex]

The area of the center circle on the soccer field is 254.34 square yards.