⨪⨪
Lesson 1: Circles, Tangent, Secants, and Chords

Lengths of the tangents explained Rules for two tangents drawn to a circle Finding the perimeter of a triangle using tangents of a circle Formula for chords explained Application problem using the formula for chords Formula for secants ( The product of the lengths of the secant segment and its external segment is equal to the product of the lengths of the second secant segment and its external segment Formula for secants explained Application problem using one secant and one tangent Example problem using a circle, tangent, and a secant


Lesson 2: Circles, Chords and Secant Segments 
Sample problem solving for a chord in a circle Problem using a radius, and the rules for secant in order to find the length of a tangent. Problem involving connecting secant segments Sample problem with secants and the interior and exterior secant Problem involving secant segments Problem involving the outside secant segment and the whole secant segment. This problem involves solving a quadratic equation Sample problem involving a secant and a tangent


Lesson 3: Finding the circumference of a circle and arc Length 
Formula for circumference of a circle explained Definition of circumference Formula for circumference involving radius explained Sample problemfind the circumference of a circle Arc length formula explained Sample problemfinding the arc length of a circle Sample problemfinding the arc length of a circle when given the diameter and the central angle Sample problemfind the radius of a circle given the arc length Answer to sample problem


Lesson 4: Finding the area of a circle and the sector area 
Definition of a sector Formula for area of a circle Sample problem finding the area of a circle when given the radius Sample problem  finding the area of a circle when given the diameter Formula for area of a sector explained Sample problem  find the area of a sector Sample problem  find the area of a sector Sample problem find the area of a circle given the sector area Sample problem  find the radius of a circle given a central angle and the sector area


Lesson 5: Finding the circumference, diameter, and radius of a circle 
Word problem in which you find the diameter of a circle using the arc length. This problem is solved by setting up a proportion of the arc length over circumference equaling the measure of the angle over 360 in order to find the circumference. You then use the circumference to find your diameter. Word problem in which you find the circumference of a circle using the radius. This problem uses the circumference formula in order to find the circumference of the circle using the radius. The last word problem involves a clock and how many degrees the clock travels in a certain amount of time. The solution involves finding how many degrees the hand of the clock travels per minute. Each word problem is solved and step by step directions are given for each solution.


Lesson 6: Finding the surface area and the volume of a sphere 
Definition of a sphere An example of the definition of a sphere Radius of a sphere explained. The great circle explained with an illustration Definition of hemisphere and a brief explanation of hemisphere Formula for surface area of a sphere Formula for volume of a sphere Sample problem with step by step instruction over how to find the surface area of a sphere. Example problem with step by step instructions for finding the volume of a sphere.

