Question

Find the area of the shaded regions

Answer 1

Sector area

Area of whole = 51.313

Area of unshaded = 9.424

Area of shaded = 41.8886

Answer 2

• 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