If the farmer has 15 hectares of vegetables then what is the size of farm?

[Phisico]

Homework Statement

Explain to me , if my thinking is wrong, please

Relevant Equations

Show me the method , please

Solution : the vegetable sector is 30 degrees, then you multiply it by 15 hectors of land, to find out the size of the farm.
Correct me, if I'm wrong please.
Thanks

 

[Mark44]

Solution : the vegetable sector is 30 degrees, then you multiply it by 15 hectors of land, to find out the size of the farm.

No, you don't multiply the angle by the number of hectares (not hectors).
What fraction of the pie chart is devoted to vegetables?

 

[lomidrevo]

your solution is not correct. First you need to figure out what what fraction of the whole farm is vegetables.

 

[Phisico]

1/12
30/126

 

[Phisico]

thank sir, I
got it

 

[Phisico]

I multiplied 15* 12=180, which is the same as in the book

 

[lomidrevo]

why do you think so? how many degrees is the full circle?

 

[Phisico]

360

 

[lomidrevo]

ah before I managed to write my post, you seems to already solved the problem. forget my questions...

 

[Phisico]

I don't get it

 

[lomidrevo]

ok let's begin again...
you already know that full circle is 360°. The degrees for Hay, Vegetables and Wheat are given to you. Degrees for Grazing you should easily calculate, try it. Then try to convert all this info into fractions (or percentage if you prefer) of the whole farm area (represented here as the full circle). Once you have this calculated, it is easy to answer all the questions.

 

[Mark44]

1/12
30/126

30° is 1/12 of the full circle, but I have no idea what you did to get 126.
Your later answer of 180 hectares for the whole farm is more reasonable.

View attachment 243103I don't get it

So 30° of the pie chart corresponds to 15 hectares. Does he have more or less of the farm devoted to wheat?