1. Nancy is walking around a circular track with a radius of 45 feet. If she walks the equivalent of 210 degrees, find the total distance she has walked around the track to the nearest foot. 2. A windshield wiper blade is 18 inches long. Calculate the area covered by the blade as it rotates through an angle of 122 degrees. Round your answer ti the nearest square inch.

3. A spray irrigation system waters a section of a farmer's field. If the water shoots a distance of 75 feet, what is the area that is watered as the sprinkler rotates through an angle of 80 degrees? Round your answer to the nearest square foot.

see explanation

Step-by-step explanation:

(1)

The distance walked ( arc length ) is calculated as

arc = circumference of circle × fraction of circle

     = 2πr ×

     = 2π × 45 ×

     = 90π ×

     ≈ 165 ft ( to the nearest foot )

(2)

The area (A)  covered is calculated as

A = area of circle × fraction of circle

   = πr² ×

   = π × 18² ×

   = 324π ×

    ≈ 345 in² ( to the nearest square inch )

(3)

The area (A) is calculated as

A = area of circle × fraction of circle

   = πr² × ( r is the distance shot by sprinkler )

   = π × 75² ×

   = 5625π ×

   ≈ 3927 ft² ( to the nearest square foot )

720

step-by-step explanation:

first i did work 2nd i did work and 3rd i did work

paula, cory, and krista