Acircle has a radius of 5 in. a central angle that measures 150° cuts off an arc. explain how to find the arc length exactly, and then approximate it to one decimal place.

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

step-by-step explanation:

hope it

step-by-step explanation:

x^(1/6) · x^(1/6) · x^(1/6)   ·x^(1/6) = x^(4/6)   since we add the exponents

4/6 can be simplified to 2/3

the simplified form is x^(2/3)