Answer: Length of arc DB is 14π feet.
Step-by-step explanation:
The sum of the angles on a straight line is 180 degrees. This means that
m∠DAB + m∠CAB = 180
m∠DAB + 40 = 180
m∠DAB = 180 - 40
m∠DAB = 140°
The formula for determining the length of an arc is expressed as
Length of arc = θ/360 × 2πr
Where
θ represents the central angle.
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
r = 18 feet
θ = 140°
Therefore,
Length of arc DB = 140/360 × 2 × π × 18
Length of arc DB = 14π feet
