The length of arc AB is 9.12 mm:
We first calculate for the radius r of the circle using the equation
r = c/(2 sin[theta/2])
where c is the length of chord AB that is given as 9 millimeters
angle given is 32 degrees
To convert theta 32 degrees into radians:
32 degrees * (pi/180) = 32 degrees * (3.14/180) = 0.5583 radians
We now substitute the values into the equation to find the radius r:
r = 9/(2 sin[0.5583/2])
r = 16.33 mm
.
We can finally solve for the length s of arc:
s = r theta = 16.33 * 0.5583 = 9.12 mm
so to solve you hav eto make the equation;
you have to put one equation on one part of the equal side and the other on the other, then solve
Thank you very much Maz.
I really appreciate it :)
Answer:
45 degrees
Step-by-step explanation:
because 2 and 5 are vertical angles they are therefore congruent by definition, 5 is half of one and one is a right angle so measure angle 2 = 45 degrees
