Answer:
Approximately, 6.283..
Step-by-step explanation:
First calculate the area of the whole circle
We have radius(r)=4 cm
Area of circle(a)=pir^2
=pi×(4)^2
=pi×16
=Approximately,50.265......
A cirlce has a total of 360 degrees
Therefore,we can conclude 360 degrees=50.265...
or,1 degree=50.265/360
1 degree=Approximately,0.139
Now,
Area for the shaded region = Area of 45 degree
=0.139×45=Approximately,6.283.....
Therefore,the area of the shaded region is approximately,6.283....
Answer:
n = 9
Step-by-step explanation:
Step 1: Write equation
-4(9n + 9) = -12(4n - 6)
Step 2: Solve for <em>n</em>
<u>Distribute:</u> -36n - 36 = -48n + 72
<u>Add 48n to both sides:</u> 12n - 36 = 72
<u>Add 36 to both sides:</u> 12n = 108
<u>Divide both sides by 12:</u> n = 9
Step 3: Check
<em>Plug in n to verify if it's a solution.</em>
-4(9(9) + 9) = -12(4(9) - 6)
-4(81 + 9) = -12(36 - 6)
-4(90) = -12(30)
-360 = -360
57 degrees because vertical angles are the same measure
