Find the area of the region bounded by the spiral r= 90 for 0s0ST. r= 90 2 (9x, 1) The area is (Type an exact answer, using t as needed.)
Two common coordinate systems used to represent a point in the plane are the cartesian coordinate system and polar coordinate system. A cartesian coordinate system contains two mutually perpendicular number lines named x-axis and y-axis. The point of intersection of the axes is called origin and its coordinate is . The x coordinate of the point is defined as the perpendicular distance from the y axis and the y coordinate of the point is defined as the perpendicular distance from the x-axis.
A polar coordinate system contains a reference point and a reference direction. The reference point is called the pole and the reference direction is called the polar axis. In this coordinate system, a point is represented with coordinates . The radial coordinate r represents the distance between the point and the reference point. The angular coordinate represents the angle between the line connecting point and reference point and the reference direction.
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