Answer:
Part 1) The exact value of the arc length is 
Part 2) The approximate value of the arc length is 
Step-by-step explanation:
step 1
Find the circumference of the circle
The circumference of a circle is equal to

we have

substitute


step 2
Find the exact value of the arc length by a central angle of 150 degrees
Remember that the circumference of a circle subtends a central angle of 360 degrees
by proportion

step 3
Find the approximate value of the arc length
To find the approximate value, assume

substitute

Given a N quantity of numbers, the Geometric Mean is equal to the N-th root of product of the N numbers
In this case, we have two numbers, then we need to multiply them and take square root:
![\sqrt{40\cdot15}=\sqrt[]{600}=\sqrt[]{100\cdot6}=\sqrt[]{100}\cdot\sqrt[]{6}=10\sqrt[]{6}](https://tex.z-dn.net/?f=%5Csqrt%7B40%5Ccdot15%7D%3D%5Csqrt%5B%5D%7B600%7D%3D%5Csqrt%5B%5D%7B100%5Ccdot6%7D%3D%5Csqrt%5B%5D%7B100%7D%5Ccdot%5Csqrt%5B%5D%7B6%7D%3D10%5Csqrt%5B%5D%7B6%7D)
The answer is:
10√6
Rounded is Approximately 24.5
So the first thing you do is dove the equations. Let's do the numerator equation. 8(2)-4 is simply saying 8•2-4 and i don't know if u learned this in class yet but you do multiplication and division before addition and subtraction so 8•2=16-4=12 so now 12 is our numerator. Now for the denominator, 8/4=2 so 2 is our denominator. We have 12/2 but it can be simplified to 6 because 6 goes into 12 twice and u cans check this by doing 6•2=12
Hope this helps m8 :))