Drag each number to the correct location on the calculation and statement. Each number can be used more than once, but not all numbers will be used. Complete the calculation and statement about the radian measure of angle θ, as well as the arc that subtends it, both shown on the unit circle above.

Arc length = 1/8 * _ * r
= _ * r
= π/4 * _
= _ units

The radian measure of an angle is equal to the length of the corresponding arc on the unit circle. Therefore, angle θ has a measure of ___ radians

Options to fill in blanks:
2π
1
π/4
π/2
2π/3
π/6
π

Step-by-step explanation:

Arc length of a circle is given by,

Arc length =

Here, θ = Central angle subtended by the arc

r = Radius of the circle

From the given picture,

θ = 45°

r = 1 unit

Therefore, arc length =

                                    =

                                    =

                                    =

Arc length = units

                 = units

Angle θ has a measure =

                                       = radians

a - base

b - exponent

so,

proportions are fractions that equal to each other. so if two fractions are the same, they are proportional.

let's check the answers to see if they are proportional.

question a is not proportional because you can't turn 1.5/3 to 3/9. if you try to multiply 1.5/3 by 2 or 3, you wont get 3/9. it's impossible to make the fractions the same.

question b is not proportional because you can't turn 22/33 to 4/6. 33 can't go into 6.

question c is proportional because when you multiply 2 and 3 by 71, you would get 142/213, and those fractions equal to each other

question d is proportional because when you divide 14 and 7 by 2, you would end up with 7/3.5, and those fractions equal to each other.