The radius of circle is r = 14cm.
Given that perimeter of sector is 68 cm.
∴ 2r+l = 68
⇒ l = 68 − 2r
= 68 − 2 × 14
= 68−28 = 40 cm
∴ Length of the arc is 40 cm.
Formula of length of arc is l = rθ (in degree)
= \(\frac{r\theta \times 2\pi}{360°}\)(in radian)
Hence,
The area of sector is 280cm2.
