Answer:
C. 179 ft²
Step-by-step explanation:
Area of circular path or walkway
= π × (R + r) × width
Where
R= Outer radius
r = Inner Radius
Diameter = 16 feet
Width = 3 feet
Inner Radius = Diameter/2
= 16 feet/2 = 8 feet
Outer Radius = 8 + 3 = 11 ft
Hence:
= π × (11 + 8) × 3
= π × 19 × 3
= 179.07078125 ft²
Approximately = 179 ft²
The area of the circular walkway = 179ft²
Option C is correct.
Answer:
<CGD
Step-by-step explanation:
Since m<CGB = right angle = 90°, therefore:
m<CGE = 90° (linear pair angles)
Complementary angles add up to 90°.
Thus, m<CGD + m<DGE = m<CGE = 90°.
Therefore, the angle that is complementary to <DGE is <CGD
. Multiplying the denominator by 
gives
Subtracting this from the numerator gives a remainder of
. Multiplying the denominator by 
gives
and subtracting this from the previous remainder gives a new remainder of
This last remainder is exactly the same as the denominator, so 
divides through it exactly and leaves us with 1.
What we showed here is that
and this last expression is the quotient.
To verify this solution, we can simply multiply this by the original denominator:
which matches the original numerator.
