Explanation:
The question requires that we get the measure of the arc AB
Given: Diameter of circle = 9 feet.
We can then obtain the radius of the circle which is half of the diameter of the circle
Radius = Diameter/2 = 9/2 = 4.5 feet
Length of an arc can be obtained using:
Length of arc =
∅
360
x 2
�
�
Length of arc =
360
∅
x 2πr
where r = radius
�
= 3.14
∅
= angle substended at the center
π = 3.14
∅ = angle substended at the center
QUESTION 1
Given that the angle subtended by the arc at the center = 45 degrees
We can then substitute the values into the equation
Length of arc =
45
360
x 2 x 3.14 x 4.5
Length of arc = 3.53 f
�
�
�
Length of arc =
360
45
x 2 x 3.14 x 4.5
Length of arc = 3.53 feet
Length of arc = 3.53 feet (To the nearest hundredth )