In this lesson of our Circles Unit, we learn about how to find the segment lengths of chords, secants, and tangents, which can intersect both inside and outside of a circle. We use one formula if the intersection takes place inside the circle (pp=pp) and another when the intersection is outside the circle (ow=ow). Make sure you pay close attention to each formula and the examples for each.
After we take our quiz on equations of circles, we get a quick lesson on tangents of circles. There are three quick facts we learn about tangents and then practice solving problems of each type.
Now that we have introduced equations of circles, we learn about a couple of other ways that we can find the equation of circles. We get some extra practice in this lesson with a Kahoot! and a review worksheet.
In this lesson, we learn about the standard equation of a circle, and the two most important pieces of information that help us define a circle: the radius and the coordinates of the center. Check inside to learn more!
In this lesson, we add two new parts to a circle (secant and tangent) and discuss the three places where you can find angles in circles, other than at the center: inside the circle, outside the circle, and on the circle. There are three easy formulas that we use to find the measures of those angles, and you can check them out inside the lesson.