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.
Adding to our unit on circles, we discuss how to find the length of an arc on a circle, and the area of a sector of a circle. We are introduced to two proportions that help us solve for each of these. See if you can tell how the two proportions are similar!
In lesson 2 of our circles unit, we talk about arcs and their measures, and how they relate to central angles. We add a couple parts to our circle, distinguish between minor and major arcs, and solve problems using arc measures and central angles.
After what seems like years of talking about triangles, we are finally moving into our unit on circles. In this lesson, we learn about the different parts of a circle, compare radius and diameter, and start solving problems with area and circumference. Check out more inside!
A one-stop shop for all things “trig.” In this lesson, we review all of the lessons in our right triangle trigonometry unit and prepare for the Unit 7 Test. Check inside for more details.
We take a more in-depth look at Sin, Cos, and Tan during this lesson, in which we continue our unit on right triangle trig. We learn how we can use these ratios to find the length of missing sides and the measures of missing angles in right triangles.