Question

A tan is shaped as a sector of a circle radius 12cm with the angle 110 at the centre calculate the area of the fan

Answer 1

Answer:

≈ 138.2 cm²

Step-by-step explanation:

The area (A) of the sector of the circle is calculated as

A = area of circle × fraction of circle

   = πr² × $\frac{110}{360}$

   = π × 12² × $\frac{110}{360}$

   = 144π × $\frac{110}{360}$

   = $\frac{144(110))\pi }{360}$ ≈ 138.2 cm² ( to 2 dec. places )