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16-05-2022
Mathematics

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A sector of a circle has a central angle of 150 ∘ . Find the area of the sector if the radius of the circle is 6 cm.

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16-05-2022

Answer:

[tex]A = 15\pi[/tex]

Step-by-step explanation:

1. 150 degrees is 5/12 of a circle

2. Find area but divide by 5/12:

[tex]A = \frac{5}{12} \pi (6)^2[/tex]

3. Solve

[tex]A = \frac{5}{12} \pi (36)[/tex]

4. Simplify

[tex]A = 15\pi[/tex]

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