If the radius of circle O is 10 inches and m∠UON=90∘, what is the area of sector URN⌢?
1 answer:
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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