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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 m∠UON=90∘, what is the area of sector URN-example-1
User Vairavan
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1 Answer

6 votes

Answer:

75π in²

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

User Justin Noel
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