Respuesta :

The ratio of the area of sector abc to the area of sector dbe is 4:3

Area of a sector

The formula for calculating the area of a sector is expressed as:

A = r²Ф

where:

  • r is the radius
  • Ф is the subtended angle

For the sector ABC

A1 = (2r)²β
A1 = 4r²β

For the sector DBE
A2 = (r)²3β
A2 = 3r²β

Take the ratios

Ratio= A1/A2
Ratio = 4r²β/3r²β
Ratio = 4/3

Hence the ratio of the area of sector abc to the area of sector dbe is 4:3

Learn more on area of sector here; https://brainly.com/question/22972014

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