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the diagram shows a sector of a circle radius 10cm
calculate the perimeter of the sector
give answer to 1 decimal place

The Diagram Shows A Sector Of A Circle Radius 10cm Calculate The Perimeter Of The Sector Give Answer To 1 Decimal Place class=

Sagot :

Answer:

[tex]\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}[/tex]

Step-by-step explanation:

[tex]\text{Perimeter of the sector = Radius + arc length + radius}[/tex]

[tex]\text{Radius = 10 cm}[/tex]

[tex]\text{Perimeter of the sector = 10 + arc length + 10 }[/tex]

 [tex]\text{Perimeter of the sector = 20 + arc length }[/tex]

[tex]\text{arc length = (sector angle/ 360 ) * perimeter of the circle}[/tex]

[tex]\text{Perimeter of a circle }=2\pi r[/tex]

[tex]\text{sector angle} = 135[/tex]

[tex]\text{arc length} = (135/ 360 ) * 2\pi (10)[/tex]

[tex]= (3/8) 20\pi[/tex]

[tex]= 15\pi /2[/tex]

[tex]\text{Using }\pi =3.14[/tex]

[tex]= 15 * 3.14 /2[/tex]

[tex]= 23.55[/tex]

[tex]\text{Perimeter of the sector = 20 + 23.55}[/tex]

[tex]= 43.55[/tex]

[tex]= 43.6 cm[/tex]

[tex]\text{perimeter of the sector = 43.6 cm }[/tex]

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