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the area of a sector created by a 240 degrees angle is 10 pi inches squared. what is the area of the entire circle? express your answer in terms of pi.

recall that startfraction area of sector over area of circle endfraction = startfraction n degrees over 360 degrees endfraction.
10 pi inches squared
15 pi inches squared
30 pi inches squared
60 pi inches squared

Using the given equation:

10PI/X = 240/360

Cross multiply:

(10PI*360) = (240*X)

3600PI = 240X

Divide both sides by 240:

X = 3600PI / 240

X = 15PI in^2

i need the options

step-by-step explanation:

the degrees would remain the same ( the number to the left of the decimal point.

the multiply the decimal by 60 to get the minutes and use the numbers to the left of the decimal point.

then multiply the decimal portion of that by 60 for the seconds and round off as needed.

39 .956652

the 39 remains the degrees.

the minutes = 0.956652 x 60 = 57.39912

the minutes = 57

the seconds = 0.39912 x 60 = 23.95 = 24 ( rounded to nearest tenth)

so 39.956652 = 39 degrees, 57 minutes and 24 seconds

-75.159809

the -75 remains the degrees

the minutes = 0.159809 x 60 = 9.58854

the minutes = 9

the seconds = 0.58854 x 60 = 35.31, rounded to nearest tenth = 35.3 seconds

so -75.159809 = -75 degrees, 9 minutes and 35.3 seconds.

the first coordinate is north or south, since it it positive it is north.

the second number is east or west, because it is negative it is west.

39 degrees, 57 minutes and 24 seconds n

-75 degrees, 9 minutes and 35.3 seconds w