Answer :

The area of a sector of a circle is given by,

A = πr2


where,


θ = centre angle in degrees


r = radius of the circle


A = area of the circle


Area of the shaded region = [Area of the outer circle] – [(Area of the minor sector of outer circle) + (Area of the major sector of inner circle)]


Area of the shaded region = πR2 – (πR2+ πr2)


= )


= 22 × 42 × 6 – (22 × 42 + 11 × 21 × 5)


= 5544 – 2079


= 3465 cm2


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