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roman2328
14.10.2021 •
Mathematics
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1 3 +4 -1 5
3 -2 6 0 1
5 -6 -2 7 1
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Ответ:
Step-by-step explanation:
The perimeter of the sector is equivalent to the length of the rope which is 10cm
Perimeter of the sector= 2 x radius + length of the arc
But the length of arc= radius x central angle in radian
10= 2(3.5)+ 3.5(central angle in radians)
10=7+3.5 (central angle in radians)
10–7=3.5(central angle)
3=3.5(central angle) central angle =3/3.5=1.16 radians or pi radians Angle in degrees =pi radians x 360 degrees/2pi radians =pi radians x 180 degrees/pi radians = 180 degrees
Therefore the central angle = 180 degrees because pi radians is half of the 2pi radians which is half of 360 degrees
This sector shape is a semicircle because the central angle is 180 degrees
Check the Length of Arc for semicircle =3.5(pi radians)=3 meters
Perimeter of the sector = 2r + length of arc= 2(3.5)+3= 7+11=10 meters exactly the length of the rope.