This is the same as 7.5pi
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Explanation:
Refer to the previous post I answered a while back. It's a similar problem, just with different numbers.
Instead of following that exact route, I'll use a more direct route this time. I'll use the formula below
S = (x/360)*pi*r^2
where S is the area of the sector (aka pizza slice), x is the angle of the sector, and r is the radius.
Notice the x/360 portion represents taking a fractional part of the full circle area pi*r^2
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Plugging in the given values leads us to...
S = (x/360)*pi*r^2
S = (108/360)*pi*5^2
S = (3/10)*pi*25
S = (3/10)*25*pi
S = 75pi/10
S = 15pi/2
This is the same as 7.5pi because 75/10 = 15/2 = 7.5
I'll leave it as a fraction since the previous answer I wrote was in fraction form.
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Side note: if the angle x is in radian mode, then you'll use this formula
S = (x/2)*r^2
Answer:
7.5π square meters
Step-by-step explanation:
The formula for the area of a sector (when angle is given in degrees) is: [tex]A=\frac{\theta}{360}\pi r^{2}[/tex]
Where r is the radius, and [tex]\theta[/tex] is the angle of the sector in degrees.
We are given the information that the radius = 5m, and [tex]\theta[/tex] = 108 degrees. So now we can just substitute these values into the equation to solve for A:
[tex]A=\frac{108}{360}\pi 5^{2}\\\\A=0.3\pi * 25\\A = 7.5\pi[/tex]
(OR approx. 23.56 square meters)
Hope this helped!