Answer:
Part 1) The measure of arc EHL is 
Part 2) The measure of angle LVE is 
Step-by-step explanation:
step 1
Let
x-----> the measure of arc EHL
y----> the measure of arc EVL
we know that
The measurement of the outer angle is the semi-difference of the arcs it encompasses.
so

we have

substitute

------> equation A
Remember that
-----> equation B ( complete circle)
substitute equation A in equation B and solve for x



Find the value of y


therefore
The measure of arc EHL is 
The measure of arc EVL is 
step 2
Find the measure of angle LVE
we know that
The inscribed angle measures half that of the arc comprising
Let
x-----> the measure of arc EHL

we have

substitute

Given:
4:x::x:16
To find:
The value of x.
Solution:
We have,
4:x::x:16
It means, we have
4:x = x:16
It can be rewritten as

On cross multiplication, we get


Taking square root on both sides.


Since ratio can be negative or positive, therefore, the value of x is either -8 or 8.
Answer:
106.81
Step-by-step explanation:
first convert diameter to radius
- radius = diameter / 2
- radius = 34/2 = 17
now find circumference
- circumference = 2πr
- circumference = 2π(17) = 106.81
r = radius