(a) (4 3 , 4) (i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) =
(ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) =
(b) (1, −3)
(i) Find polar coordinates (r, θ) of the point, where r > 0 and 0 ≤ θ < 2π. (r, θ) =
(ii) Find polar coordinates (r, θ) of the point, where r < 0 and 0 ≤ θ < 2π. (r, θ) =

The answer is below

Step-by-step explanation:

A point in the coordinate plane can either be represented using the Cartesian form or the polar corm. The Cartesian form is represented as (x, y) where x and y are the horizontal and vertical coordinates while the polar form is represented as (r, θ), θ is the angle and r is the length.

Conversion of (x, y) to (r, θ) is:

a) (3, 4)

(3, 4) = (5, 0.296π)

b) (1, -3)

(3, 4) = (√10, 1.6π)

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²

triangle and cube

step-by-step explanation: