Question

A circular garden with a radius of 20 meters is surrounded by a walkway that measures 1 meter in width. -1 m 20 m Find the area of the walkway to the nearest hundredth. Use 3.14 for π. ​

Answer 1

To find the area of the walkway, subtract the area of the inner circle from the area of the outer circle.

Step-by-step explanation:

To find the area of the walkway, we need to calculate the difference between the areas of the outer circle and the inner circle. The area of the outer circle is given by A = πr², where r is the radius of the outer circle. In this case, the radius is 20 m, so the area of the outer circle is approximately 1256.64 m². The area of the inner circle is given by A = πr², where r is the radius of the inner circle. To find the radius of the inner circle, we subtract the width of the walkway from the radius of the outer circle: 20 m - 1 m = 19 m. Therefore, the area of the inner circle is approximately 1134.11 m². Finally, we can find the area of the walkway by subtracting the area of the inner circle from the area of the outer circle: 1256.64 m² - 1134.11 m² = 122.53 m². So, the area of the walkway is approximately 122.53 square meters.

Answer 2

Answer: 128.74 square meters

=========================================================

Step-by-step explanation:

The area of the garden only (ignore the circular pathway) is approximately

A = pi*r^2

A = 3.14*20^2

A = 1256

The area of the garden plus the path is approximately

A = pi*r^2

A = 3.14*21^2

A = 1384.74

Notie how I added on 1 meter to increase the radius to 21

Subtract the two circle areas to get the area of the circular ring.

1384.74 - 1256 = 128.74

The units for all of the areas mentioned are "square meters".