Determine the center and radius of the following circle equation: x^2+y^2+20x+8y+35=0
1 answer:
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Answer:
Final answer will be the choice which matches best with expression
or
Step-by-step explanation:
Given expression is:
We begin by factoring denominators:
Multiply and divide first term by (x) to make denominators equal.
Since denominators are equal so we can combine numerators.
Now simplify
Hence final answer will be the choice which matches best with expression
or
Answer:
Assuming the area is made up of a square and a semicircle.
<u>Perimeter</u>
The side length of the square = 18 ft
We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).
⇒ perimeter of the square = (3 x 18) + (18 - 12)
= 54 + 6
= 60 ft
Circumference of a circle = d (where d is the diameter)
⇒ arc length of the semicircle = 1/2 circumference
= 1/2 · · 12
= 6 ft
Total perimeter = 60 + 6 = 78.8 ft (nearest tenth)
<u>Area</u>
Area of a square = s² (where s is the side length)
⇒ area of square = 18²
= 324 ft²
Diameter = 2r ⇒ r = 1/2 diameter
Area of a circle = r² (where r is the radius)
⇒ area of the semicircle = 1/2 · · 6²
= 18 ft²
Total area = 324 + 18 = 380.5 ft² (nearest tenth)
