Question

A circular flower bed is 19 m in diameter and has a circular sidewalk around it that is 4 m wide. Find the area of the sidewalk in square meters. Use 3.14 for pi.

The area of the sidewalk is
_______ msquared.
​(Round to the nearest whole number as​ needed.)
PLEASE HELP!!!!!!!!

Answer 1

289 m²

Explanation:

First find the area of the flower bed

A=πr²= (3.14)(9.5)² = 283.385

Then get the area of everything including the sidewalk

A=πr²= (3.14)(13.5)² = 572.265

Then subtract and you'll get the area of just the sidewalk

572.265 - 283.385 = 288.88m²

Answer 2

289 m^2

Explanation:

The diameter is 19 for the flowerbed, so the radius is

r = d/2 = 19/2 =9.5

We add the sidewalk

9.5+4 = 13.5

So the radius of the flowerbed and sidewalk is 13.5 m

We need to find the area of the flowerbed and sidewalk

A = pi r^2 = 3.14 ( 13.5)^2 = 572.265

The area of the flowerbed is

A = pi r^2 = 3.14 ( 9.5)^2 = 283.385

Subtract the two to find the area of the sidewalk

572.265-283.385 =288.88

Rounding to the nearest whole number

289 m^2