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

Mathematics

1 answer:

blsea [12.9K]3 years ago

8 0

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 )

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