Question

Calculate to the nearest 1/10th meter the radius of a 7th, 12th, and 30th hectare circular plot. [Work

Answer 1

For a 7 hectare plot, the radius is 149.3 m.

For a 12 hectare plot, the radius is 195.5 m.

For a 30 hectare plot, the radius is 309.1 m.

Explanation:

For a circular plot of area A, the radius is

[tex]r=\sqrt{A/\pi}[\tex]

One hectare is equal to 10,000 m2.

For a 7 hectare plot, the radius is

[tex]r=\sqrt{7*10,000/3.14}\\r=\sqrt{22,293}=149.3[\tex]

For a 12 hectare plot, the radius is

[tex]r=\sqrt{12*10,000/3.14}\\r=\sqrt{38,216}=195.5[\tex]

For a 30 hectare plot, the radius is

[tex]r=\sqrt{30*10,000/3.14}\\r=\sqrt{95,541}=309.1[\tex]