zahracx
zahracx zahracx
  • 23-02-2021
  • Mathematics
contestada

Find the area of a sector

Find the area of a sector class=

Respuesta :

jimrgrant1 jimrgrant1
  • 23-02-2021

Answer:

990 cm²

Step-by-step explanation:

Given ratio of radii = a : b , then

ratio of areas = a² : b²

Here

ratio of radii = 50 : 30 = 5 : 3 , then

ratio of areas = 5² : 3² = 25 : 9

let x be the area of sector DEF , then using proportion

[tex]\frac{25}{2750}[/tex] = [tex]\frac{9}{x}[/tex] ← [tex]\frac{ratio}{area}[/tex]

cross- multiply

25x = 24750 ( divide both sides by 25 )

x = 990

Area of sector DEF = 990 cm²

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