A point (a,b)shown in below graph in polar coordinates is given.Convert the point to rectangular coordinates. $$a = 6 , b = \frac { \pi } { 2 }$$
A)Rectangular coordinates: (6,6)
B)Rectangular coordinates: (6,0)
C)Rectangular coordinates: (0,6)
D)Rectangular coordinates: (-6,0)
E)Rectangular coordinates: (0,-6)

Question

A point (a,b)shown in below graph in polar coordinates is given.Convert the point to rectangular coordinates.​  ​ $$a = 6 , b = \frac { \pi } { 2 }$$ ​
A)Rectangular coordinates: (6,6) 
B)Rectangular coordinates: (6,0) 
C)Rectangular coordinates: (0,6) 
D)Rectangular coordinates: (-6,0) 
E)Rectangular coordinates: (0,-6)

Quizplus · Accepted Answer

From the polar coordinates, we can see that the point is located at a distance of 6 units from the origin (because the radius is 6) and at an angle of 90 degrees (because the angle is measured from the positive x-axis counterclockwise). Therefore, the x-coordinate is 0 (because the point lies on the y-axis) and the y-coordinate is 6 (because the distance from the origin in the y-direction is 6). Hence, the rectangular coordinates are (0,6).

A Point (A,b)shown in Below Graph in Polar Coordinates Is a=6,b=π2a = 6 , b = \frac { \pi } { 2 }a=6,b=2π​

A Point (A,b)shown in Below Graph in Polar Coordinates Is $a = 6 , b = \frac { \pi } { 2 }$