A circular playground is 60 feet wide and has a 3-foot wide path surrounding the playground.
1. The area of the playground is about
A. 377
B. 2,826
C. 11,304
2. The area of the circular path is about
A. 290
B. 396
C. 594

Respuesta :

9514 1404 393

Answer:

  1. B 2,826
  2. C 594

Step-by-step explanation:

1. The area of a circle of radius 30 ft is ...

  A = πr²

  A = π(30 ft)² = 900π ft²

Using π = 3.14, the area is ...

  A = (3.14)(900 ft²) = 2826 ft²

The area of the playground is about 2826 square feet.

__

The radius of the playground with the path is 33 ft, so the total area is ...

  A = (3.14)(33 ft)² = 3419.46 ft²

Subtracting the area of the playground gives the area of the path:

  3419.46 -2826 = 593.46 . . . square feet

The path area is about 594 square feet.