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23-03-2020
Mathematics

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A circle with radius 10 has a sector with a central angle of 2/5pi radians.
What is the area of the sector?

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23-03-2020

Answer:

20π square units

Step-by-step explanation:

The area of a sector with central angle θ is ...

A = (1/2)r²θ

Filling in the given values, we find the area to be ...

A = (1/2)(10 units)²(2/5π) = 20π units²

The area of the sector is 20π units².

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