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The window shown is the shape of a semicircle with a radius of 6 feet. The distance from F to E is 3 feet and the measure of = 45°. Find the area of the glass in region BCIH, rounded to the nearest square
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May 16, 2018
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The window shown is the shape of a semicircle with a radius of 6 feet. The distance from F to E is 3 feet and the measure of = 45°. Find the area of the glass in region BCIH, rounded to the nearest square foot. ft2
Mathematics
high-school
Benamar
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Answer:
11 ft2
Explanation:
hope this helps
Josiah Hudson
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May 18, 2018
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Josiah Hudson
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We have to find 2 areas and to subtract A2 from A1:
A1 = ( r² · π · 45° ) / 360° = ( 6² · 3.14 · 45° ) / 360° = 14.13 ft²
A2 = ( 3² · π · 45° ) / 360° = 3.53 ft²
A ( BCIH ) = 14.13 - 3.53 = 10.6 ft² ≈ 11 ft²
Answer: The area of the glass in the region BCIH is
11 ft²
( rounded to the nearest square foot ).
Neil Stevens
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May 21, 2018
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Neil Stevens
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