A new business requires an office space of at least 110,000 square meters. Is there enough space in the floor plan shown here? The radius of the semicircle is______. The area of the office shown in the floor plan_________ .
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The radius of the semicircle is 100 m
The area of the office shown in the floor plan is greater than what the business needs
I just did this on edgenuity and got it right
The area of the office shown in the floor plan is greater than what the business needs
I just did this on edgenuity and got it right
Answered by
2
Answer:
enough space
100 m
115700 m²
Step-by-step explanation:
A new business requires an office space of at least 110,000 square meters. Is there enough space in the floor plan shown here? The radius of the semicircle is______. The area of the office shown in the floor plan_________ .
Ref Picture attached
Diameter of semicircle = 400 - 200 = 200 m
Radius of circle = 200/2 = 100m
Total Area = 150 * 200 + (150 + 200)(400 - 200) + (1/2) π * 100²
= 30000 + (350)(200) + 5000 * 3.14
= 30000 + 70000 + 15700
= 115700 m²
115700 m² > 110000 m²
enough space is there in the floor plan shown in picture
The radius of the semicircle is 100 m
The area of the office shown in the floor plan 115700 m²
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