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2 years ago

Area of sector................................

Mathematics

1 answer:

sveticcg [70]2 years ago

3 0

Answer:

A ≈ 25.1 cm²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

= πr² × $\frac{\frac{4\pi }{9} }{2\pi }$

= π × 6² × $\frac{\frac{4\pi }{9} }{2\pi }$

= 36π × $\frac{\frac{4\pi }{9} }{2\pi }$

= 18 × $\frac{4\pi }{9}$

= 2 × 4π

= 8π

≈ 25.1 cm² ( to the nearest tenth )

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