Answer:
The measure of the angle is 172 degrees
Explanation:
The diameter of the circle is 8 cm
Because the radius is half of the diameter, we have:
Radius (r) = 4 cm
The arc length is the product of the angle and the radius:
L = rθ
The length is given as 12 cm, so we have:
12 = 4θ
Divide both sides by 4
θ = 12/4 = 3
The angle measures 3 radians
We need to convert this to degrees:
Note that:
1 degree = π/180 radians
So, we divide 3 by π/180 to obtain the value in degrees
This is 171.887
Approximately 172 degrees
