katella200
katella200 katella200
  • 01-10-2019
  • Mathematics
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If the radius of circle O is 10 inches and m∠UON=90∘, what is the area of sector URN⌢?

If the radius of circle O is 10 inches and mUON90 what is the area of sector URN class=

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sqdancefan
sqdancefan sqdancefan
  • 01-10-2019

Answer:

  75π in²

Step-by-step explanation:

The shaded sector is 3/4 of the circle. We can use the area formula for a circle to find the area of the whole circle, then multiply that result by 3/4.

  A = πr² = π(10 in)² = 100π in²

Then the area of 3/4 of the circle is ...

  3/4·A = (3/4)·100π in² = 75π in²

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