What are the formulas for the measure of angles outside of a circle

What are the formulas for the measure of angles outside of a circle

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the different types of angles related to circles, including those at the center, on the circle, and outside the circle. It explains the properties of secant and tangent lines and provides formulas for calculating angles formed outside the circle. The tutorial also includes examples to demonstrate the application of these formulas.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the possible positions of angles in a circle?

At the center, on the circle, or at the intersection of two lines

Only at the center

Only on the circle

Only at the intersection of two lines

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many times does a tangent line intersect a circle?

Never

Three times

Twice

Once

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the definition of a secant line?

A line that intersects the circle once

A line that never intersects the circle

A line that intersects the circle twice

A line that is parallel to the circle

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to find the measure of an angle outside the circle?

The measure of one arc

Twice the measure of one arc

The sum of the measures of two arcs

1/2 the difference of the measures of two arcs

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When calculating angles outside the circle, what must be done to the arc measures?

Divide one by the other

Add them together

Subtract one from the other and multiply by 1/2

Multiply them