Calculating Line Density: How to Determine the Number of Lines in a Given Sector

Assuming line density is conT.ant at two lines per degree and youchange from a 45 degree sudar to a 90 degree sector, how many lineswill be now be produced?A: 45B: 90C: 180D: 360

C

The line density is constant at two lines per degree. This means that for every degree of the sector, two lines will be produced.

If we increase the sector from 45 degrees to 90 degrees, we are doubling the number of degrees. Therefore, we can expect to double the number of lines produced as well.

So, to calculate the number of lines in the 90-degree sector, we can use the following formula:

Number of lines = Line density x Number of degrees

Number of lines = 2 lines/degree x 90 degrees

Number of lines = 180 lines

Therefore, the answer is option C: 180.

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