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zylovesnesha
11.04.2020 •
Mathematics
What is the volume of this sphere in terms of pi?
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Ответ:
Ответ:
Now we can find the area of our smaller figures.
For triangle ABF
Remember that the area of a triangle is
where
is the base of the triangle
is the height of the triangle
We can infer from our diagram that the base of our triangle is the measure of line segment FB; similarly, the height of our triangle is the measure of the line segment EA. To find the measures of our line segments, we are going to use the distance formula:
where
are the coordinates of the first point
are the coordinates of the second point
Now we can find the area of our triangle:
square units
For triangle DEP
and
square units
For square BCPE
Remember that the area of a square is:
where
one of the sides of the square
We are going to use the measure of line segment PC here, so . Lets use the distance formula to find the measure of line segment PC:
square units
Finally, we can add the areas of our smaller figures to find the area of our shape:
15 square units+3 square units+36 square units=54 square units
We can conclude that the area of the figure ABCDEF is 54 square units.