bellamvento
12.08.2020 •
Mathematics
Find the area of the shaded regions:
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Ответ:
125.6 in^2
Step-by-step explanation:
First, we have that the radius of this circle is r = 10in
Now, we know that the area of a circle is:
A = pi*r^2
Now, if we got only a section of the circle, defined by an angle x, then the area of that region is:
A = (x/360°)*pi*r^2
Notice that if x = 360°, then the area is the same as the area of the full circle, as expected.
Then each shaded area has an angle of 72°.
A = (72°/360°)*3.14*(10in)^2 = 62.8 in^2
And we have two of those, both of them with the same angle, so the total shaded area is:
2*A = 2*62.8 in^2 = 125.6 in^2
Ответ:
The area of a circle is:
Radius is equal to one half of the diameter
So the radius of the mirror is 6 inches
Now you can just plug this into the equation: 6 squared is 36, times pi
or if you multiply the pi in: 113.097 inches squared!