Q. 73.6( 19 Votes )

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Answer :

Radius of circle, r = 3.4 cm

Perimeter of sector, P = 12.8

⇒ P = length of arc + 2× radius

⇒ Length of arc, l = P – 2×r

⇒ l = 12.8 – 2(3.4)

⇒ l = 6 cm

Let the ∠ APC be θ

As we know that,

Also ,

On Substituting the value of theta from above equation,

⇒ A = 10.2 sq. cm

∴ Area of Sector is 10.2 sq. cm

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