Question

Find the area, correct to the nearest square

metre, of a 2m wide path surrounding a
circular plot of land 200m in diameter.

Answer 1

1269 square meters

Explanation:

The path and the plot of land form two concentric circles (they have the same center). The radius of the plot of land is 100m (half of the diameter) and the radius of the larger circle, formed by putting a 2m wide path around the plot of land, is 102m. Thus, the area of the path is
`\pi *102^2` minus
`\pi *100^2` which will be
`10404\pi-10000\pi` which is
`404\pi`. Estimate
`\pi` to 3.141 and calculate, getting 1268.964... which is 1269, rounded to the nearest square meter.

Hope this helps :)