Find the area of the crescent-shaped region (called a lune) bounded by arcs of circles with radii r = 2 and r = 14
1 answer:
the complete question in the attached figure
Let
A1-------> half of the area of the blue circle
A2-------> area of the circular segment formed by the diameter of the blue circle treated as a chord of the red circle
A3---------- > area of the crescent-shaped region
A3=A1-A2A1=pi*2²/2=6.28
Area of the circular sector
if 360 º corresponds to an area of pi*14²
2*arc sin(2/14)------------------- X
X=16.43*pi*14²/360---------- > X=28.10
Triangle area:
------- >(4/2)*√(14²-2²=27.72
Area of the circular segment A2=Area of the circular sector-Triangle area
A2=28.10-27.72=0.38
A3= A1-A2=6.28-0.38=5.90 units²
the answer is 5.90 units²
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By reading the above statement, we can find that there are two variables and each variable has 2 categories. The variables and their categories are:
1) Class Number
This variable is further divided into 2 categories i.e. Class 9th and Class 10th.
2) Participation in Extracurricular activities
This variable is further divided into 2 categories based on if students participated or not.
Part b)
Set up and fill 2 way table.
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There are total 100 students. 40 students are in class 10th. This means 60 students are in class 9th.Out of 40 students in class 10th, 18 students participate in at least one extracurricular activity. So remaining 22 students do not participate. 32 students from class 9th participate in extracurricular activities, this means the remaining 28 students do not participate. Based on this data, we can fill up the table as shown below