4 Ramon was asked to write the quotient 3 - i

in the

a + bi form. He began this way:

(3-i)

(3-i)

4(3-i)

(3² + (²)

112 - 41)

9 - 1

(12 - 4i)

8

11

(3-i)

2

Find Ramon's error and correct it (algebraically or in

words) so that he arrives at the accurate final solution.

Step-by-step explanation:

Given

See attachment for question

Required

Correct Ramon's error

Start by rationalizing the expression:

Expand

In complex numbers:

So:

Split fraction

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm