heyitzcandy12391 heyitzcandy12391
  • 18-04-2020
  • Mathematics
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A circle with radius 4 has a sector with central angle of 8/5pi radians.

A circle with radius 4 has a sector with central angle of 85pi radians class=

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altavistard
altavistard altavistard
  • 18-04-2020

Answer:

(64/5)π units²

Step-by-step explanation:

The area of this sector would be:

Given central angle

------------------------------ *(area of whole circle)

            2π rad

In this case, the area of the sector is:

      (8/5) π rad

------------------------------ * π(4 units)^2

            2π rad

and this reduces to:

(4/5) * π*16 units²      or  (64/5)π units²

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