Figure shows a sector of a circle, centre O, containing an angle θ �

1.	Figure shows a sector of a circle, centre O, containing an angle θ ∘. Prove that: (i) Perimeter of the shaded region is r(tanθ+secθ+πθ180−1) (ii) Area of the shaded region is r22(tanθ−πθ180)
Answer» Figure shows a sector of a circle, centre O, containing an angle $θ^{\circ}$ . Prove that: (i) Perimeter of the shaded region is $r (t a n θ + s e c θ + \frac{π θ}{180} - 1)$ (ii) Area of the shaded region is $\frac{r^{2}}{2} (t a n θ - \frac{π θ}{180})$

Figure shows a sector of a circle, centre O, containing an angle θ ∘. Prove that: (i) Perimeter of the shaded region is r(tanθ+secθ+πθ180−1) (ii) Area of the shaded region is r22(tanθ−πθ180)

Answer»

Figure shows a sector of a circle, centre O, containing an angle $θ^{\circ}$ . Prove that:

(i) Perimeter of the shaded region is $r (t a n θ + s e c θ + \frac{π θ}{180} - 1)$

(ii) Area of the shaded region is $\frac{r^{2}}{2} (t a n θ - \frac{π θ}{180})$

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Figure shows a sector of a circle, centre O, containing an angle θ ∘. Prove that: (i) Perimeter of the shaded region is r(tanθ+secθ+πθ180−1) (ii) Area of the shaded region is r22(tanθ−πθ180)

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