The perimeter of sector of circle of radius 5.7 M is 27.2 M then find the area of the sector
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Answer:
The Area of sector is 45.03 m².
Step-by-step explanation:
Given:
Radius of a circle(OA,OB) ,r = 5.7 m
Perimeter of the sector of a circle = 27.2 m
Let OAB be the given sector.
Perimeter of the sector , OAB = 27.2 m
OA + OB + Arc AB = 27.2 m
5.7 + 5.7 + Arc AB = 27.2
11.4 + Arc AB = 27.2 m
Arc AB = 27.2 - 11.4 = 15.8 m
Length of the sector , AB (l) = 15.8 m
Area of sector OAB = ½ × l × r
= ½(15.8)(5.7) = 90.06 /2 = 45.03 m²
Hence, the Area of sector is 45.03 m².
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