Expres each complex number in polar form. state the arguments in radians rounded to the nearest thousandth.
a. 2 + 5i
b. −6 + i

(a) In polar form complex number will be and in radian argument is 0.378π

(b)

angle will be 0.05255π

Step-by-step explanation:

We have given

(a) 2+5i

We have to represent in polar form

We know that magnitude is given by

Argument is given by

So in polar form complex number will be

In radian argument will be

(b) We have given complex number

We know that magnitude is given by

Argument is given by

So in polar form complex number will be

In radian argument will be

256π units²   (answer b)

step-by-step explanation:

the formula for the surface area of a sphere of radius r

is             a = 4πr²

and so, if r = 8 units, then the surface area is:

a = 4π(8 units)² = 256π units²   (answer b)

c

step-by-step explanation: