Question

For The Sectors With Given Measures,Find The Length Of The Arc,Area And Perimeter.1.Central Angle 120 Degree,D=12.6 Cm Answer

Answer 1

Answer:

Step-by-step explanation:

For The Sectors With Given Measures,Find The Length Of The Arc,Area And Perimeter.1.Central Angle 120 Degree,D=12.6 Cm Answer

Diameter = 12.6 cm

Radius = Diameter/2 = 12.6/2 = 6.3 cm

Angle = 120°

Length of Arc = (120°/360°)* 2π R

= (1/3) *(22/7) * 6.3

= 6.6  cm

Area = (120/360)π R² =(1/3) (22/7) (6.3)² = 41.58 cm²

to find perimeter we need to find length joining arc points

length joining arc points = √(R² + R² - 2R²Cos120°)

= √(2R² + R²)

= √3 R

= √3 * 6.3

= 10.9 cm

Perimeter = 6.6 + 10.9 = 17.5 cm

Answer 2

Answer:

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