Answer
Area = 80.11 cm^2 and perimeter = 39.99 cm
Explanation:
The area of each small sector
= (60/360) * π * r^2
= (60/360) * π * 6^2
= 1/6 * 36 * π
= 6π
So the area of the 2 small sectors = 12π cm^2
Area of the large sector
= 1/6 * π * 9^2
= 13.5 π
Total area = 25.5π cm^2.
= 80.11 cm^2
Perimeter = 6 + 6 + 3 + 3 + 2 small arcs + 1 large arc
= 18 + 2 * 1/6 * 2πr + 1/6 * 2πr
= 18 + 2/3π*6 + 1/3π*9
= 18 + 7π
= 39.99 cm.