Find the area of circle Y. The image is represented by circle Y with a sector XYZ that has an area of 85.5 square meters. That s
ector has an arc that measures 117 degrees. The radius of the circle is unknown.
1 answer:
Answer:
263.08 m²
Step-by-step explanation:
The fraction of circle area that a sector represents is proportional to the central angle.
<h3>Proportion</h3>
circle area/circle angle = sector area/sector angle
circle area / 360° = 85.5 m² / 117°
Multiplying by 360°, we have ...
circle area = (360/117)(85.5 m²) = 263.08 m²
The area of the circle is about 263.08 m².
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