By definition,
a circle is the set of all points in a plane that are the same distance from
a fixed point (called its center). Notes:

a circle (in green) with center $\,C\,$ 
Depending on context, radius can mean:
The plural of ‘radius’ is either:


Depending on context, diameter can mean:


The circumference of a circle is the distance
around the circle. As discussed below: $$ \text{circumference} = 2\pi r = \pi d\ , $$ where $\,r\,$ is the radius and $\,d = 2r\,$ is the diameter. 
circumference of a circle: the distance around the circle 
Compute with circles, and you're certain to run into the special number $\,\pi\ $:

By definition, $\,\pi\,$ is the ratio of circumference to diameter in a circle: $$ \pi := \frac{\color{blue}{\text{circumference}}}{\color{red}{\text{diameter}}} \approx 3.14 $$ Thus, $\text{circumference} \approx (3.14)(\text{diameter})$ It takes just over $\,3\,$ diameters to go around the circle! $\pi\,$ is irrational, hence has an infinite, nonrepeating decimal expansion $\pi\,$ is approximately 3.1415926535897932384626433832795028841971693993751058209 749445923078164062862089986280348253421170679821480865132 823066470938446095505822317253594081284811174502841027019 385211055596446229489549303819644288109756659334461284756 482337867831652712019091456485669234603486104543266482133 936072602491412737245870066063155881748815209209628292540 917153643678925903600113305305488204665213841469519415116 094330572703657595919530921861173819326117931051185480744 623799627495673518857527248912279381830119491298336733624 
CENTRAL ANGLE OF A CIRCLEBy definition, a central angle in a circle is an angle formed at the center of a circle by two radii.Notes on central angles:


On this exercise, you will not key in your answer. However, you can check to see if your answer is correct. 
PROBLEM TYPES:
