Angles Outside the Circle Worksheets
What Are Angles Outside Circles? Did you know that the sun’s rays fall to the earth as tangents? These rays, tangent to the earth’s surface determine when is the daytime or when is the nighttime. The sun’s rays falling on the earth’s surface is what we can use to understand the concept of angles outside circles. So, when do you know for sure that an angle is and outside circle angle? When the vertex of the angle is outside the circle and its sides are tangents or secants then we know that we are dealing with angles outside circles. There are three different angles outside circle, the first is when two tangents form an angle, then there is the case when a tangent and a secant make an angle, and the last case is when two secants form an angle.

Basic Lesson
Guides students through finding values of angles outside of circles. Angle formed outside = 1/2 difference of intercepted arcs.
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Intermediate Lesson
Demonstrates the concept intercepts for determining values outside of circles.
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Independent Practice 1
A really great activity for allowing students to understand the concepts of the Angles Outside the Circle.
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Independent Practice 2
Students use Angles Outside the Circle in 20 assorted problems. The answers can be found below.
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Homework Worksheet
Students are provided with 12 problems to achieve the concepts of Angles Outside the Circle.
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Hot Coffee
A physicist and a mathematician are sitting in a faculty lounge. Suddenly, the coffee machine catches on fire. The physicist grabs a bucket and leap towards the sink, filled the bucket with water and puts out the fire. Second day, the same two sit in the same lounge. Again, the coffee machine catches on fire. This time, the mathematician stands up, got a bucket, hands the bucket to the physicist, thus reducing the problem to a previously solved one.