Which explanation justifies how the area of a sector of a circle is derived?

determine the percent of the sector of the circle divided by the degrees in a circle. then find the number of triangles within a circle. divide the two numbers and multiply by the area of the circle.

the sector of a circle represents a part of a whole circle. determine how many sections of the sectors will fit in the circle. multiply this number by 180 and then multiply it by the area of the circle.

the sector of a circle is a fractional part of the circle. determine the fraction of the circle that the sector represents. multiply this fraction by the area of the entire circle.

find how many sector pieces fit in a circle. divide this number by the total degrees in a circle. then multiply the quotient by the diameter of the circle.

Ece 202: problem set 1 due: june 14, 2019 (friday) the first 3 questions of this homework assignment covers some fundamental mathematical concepts that will play a role in this course. the remaining questions are on basic signals and laplace transforms. 1. a review of complex numbers. (a) compute the magnitude and the phase of the complex numbers −4 +j, and write them in polar form (i.e., of the form rejθ). also, plot the complex number in the complex plane. (b) simplify the complex number 1 4 − √ 1 2 − j √ 2 22 and write them in cartesian form. (c) consider the complex number s = z1z2 · · ·zm p1p2 · · · pn , where each zi is a complex number with magnitude |zi | and phase ∠zi , and each pi is a complex number with magnitude |pi | and phase ∠pi . write the magnitude and phase of s in terms of the magnitudes and phases of z1, z2, . . , zm, p1, p2, . . , pn. 2. a review of differentiation. (a) find df dx for the following functions. i. f(x) = (1−4x) 2 √ x . ii. f(x) = √ 1 + tan x. (b) find dy dx for the equation e x sin y + cos2 x cos y − x 3 = 0.