What fraction do the blue segments make up?
1 answer:
The picture in the attached figure
we know that
Total fraction of blue segments=fraction of blue segments circle 1+
fraction of blue segments circle 2
step 1
find the fraction of blue segments circle 1
total segments=8
blue segments=4
fraction of blue segments=4/8
step 2
find the fraction of blue segments circle 2
total segments=8
blue segments=3
fraction of blue segments=3/8
step 3
Total fraction of blue segments=4/8+3/8----> 7/8
the answer is 7/8
we know that
Total fraction of blue segments=fraction of blue segments circle 1+
fraction of blue segments circle 2
step 1
find the fraction of blue segments circle 1
total segments=8
blue segments=4
fraction of blue segments=4/8
step 2
find the fraction of blue segments circle 2
total segments=8
blue segments=3
fraction of blue segments=3/8
step 3
Total fraction of blue segments=4/8+3/8----> 7/8
the answer is 7/8
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The time it will take Jesse to finish sanding the table is approximately 22.61 hours.
<h3>How to find the area of a circle?</h3>Suppose the circle has radius of 'r' units, then, its area is given as:
sq. units
Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:
sq. units
For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.
The area of table(diameter given as 6 ft) is:
Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:
(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)
Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.
Learn more about area of circle here: