Determine the center and radius of the following circle equation: x^2+y^2-8x+6y-75=0 x 2 +y 2 −8x+6y−75=0 Center: \big(( , \big)
1 answer:
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12,900 BTU's are required to cool the room effectively.
Step-by-step explanation:
Step 1:
We must calculate the area of the entire shape to determine the minimum BTU's required to cool the room effectively.
It is made up of a semi-circle a rectangle, and a trapezoid.
Step 2:
The area of a semi-circle
Here, the diameter is 20 feet so the radius is 10 feet.
The area of the semi-circle square feet.
The area of a rectangle
The length of the rectangle is 22 feet and the width is 20 feet.
The area of a rectangle square feet.
The area of a trapezoid
Here .
The area of a trapezoid square feet.
Step 3:
The total area of the floor plan square feet.
If 20 BTU's are required for a single square foot,
The number of BTU's for 645.079 square feet BTU's.
Rounding this off, we get 12,900 BTU's required to cool the room effectively.