If the measure of central angle is 3π /4 radians, then the area off the shaded sector is 96π square units
The radius of the circle = 16 units
The central angle of the shaded region = 3π /4 radians
The area of the sector = (θ/ 360) × πr^2
Where θ is the central angle of the sector
r is the radius of the sector
Substitute the values in the equation
The area of the sector = ((3π /4) /360) × π × 16^2
Convert the radians to the degrees
= (135/360) × 256π
Multiply the terms
= 96π square units
Hence, the area of the shaded sector is 96π square units
The complete question is
The measure of central angle XYZ is 3 pie / 4 radians. What is the area of the shaded sector?
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Answer:
Step-by-step explanation:
2 × ( 3x + 6 )° + ( 16x + 14 )° = 180°
22x + 26 = 180
22x = 154
x = 7
If there were 30 Girls, 4 Girls played for each part.
Answer:
Three solutions.
Step-by-step explanation:
In order to solve system of equations by graphical method, we graph the system of equations. The intersection point (s) of the two graph would give us the solution.
If the graph of the equations intersect at 2 points then there will be 2 solutions, if there are 4 intersection then there would be 4 solutions and so on.
For the given graph, we can see that there are three intersection points.
Hence, there would be three solutions.
4×2/8
5×2/10
6×2/12
7×2/14
8×2/16
9×2/18
10×2/20
There are a lot more problems but here are a couple to help you for now.
