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Find the area of the shaded regions

Find the area of the shaded regions-example-1

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Sector area

Area of whole = 51.313

Area of unshaded = 9.424

Area of shaded = 41.8886

User Ta Duy Anh
by
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1 vote

Answer:

  • 40π/3

Explanation:

Find the area of the bigger circle:

  • A = πr² = π(4 + 3)² = 49π

Find the area of 120° sector AOC:

  • A = 120°/360°*A = 1/3*49π = 49π/3

Find the area of smaller circle:

  • A = π(3²) = 9π

Find the area of 120° sector of DOB:

  • A = 120°/360°*9π = 3π

Now find the shaded area, the difference of areas of sectors:

  • 49π/3 - 3π = 40π/3
User Clexmond
by
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