Answer:
The length of arc EF is 11.3
Step-by-step explanation:
Since both angles are congruent, we can say that they are equal in value
Mathematically, the length of an arc can be calculated using the formula;
L = theta/360 * 2 * pi * r
where theta is the angle subtended and r is the radius of the circle
So for circle A, we have;
18.08 = theta/360 * 2 * π * 8
theta = (360 * 18.08)/16π
Theta = 406.8/π
Now we shall substitute this angle in the second circle to get its length
L = 406.8/π * 1/360 * 2 * π * 5
L = 406.8/36 = 11.3
