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Honors Math 2 Chapter 10 Notes

Day 1 ----------------------------------------------------------------

A ________________ is the set (or locus) of all points equidistant from a given point (the center)

Radius:

Diameter

Chord:

Fill in the table with the appropriate pictures to represent each situation:

Formula for the circumference of a circle:

What is pi?

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Find the diameter and radius of a circle to the nearest tenth if the circumference of the circle is 106.4 mm:

Draw a central angle, and label the measurements. Then list in your own words the relationship between a

central angle and its intercepted arc:

Find the value of x:

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GH: GHJ: LGH: LGJ:

____________________________ are arcs whose central angles have the same measure.

Find each measure:

Arc Length is the distance between the

endpoints along an arc measure in linear

units. Since an arc is a portion of a circle,

its length is a fraction of the

circumference.

Find the length of arc AB:

HOMEWORK:

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Day 2 ---------------------------------------------------------------

An ____________________ angle has a vertex on the circle and sides that contain chords of the circle.

An ____________________ arc has endpoints on the sides of an inscribed angle and lies in the interior of the

inscribed angle.

Draw a picture that demonstrates an inscribed angle and an intercepted arc, and label each clearly:

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An angle can be inscribed in a circle three different ways: Draw a picture of each case:

Triangles and quadrilaterals that are

inscribed in circles have special properties:

HOMEWORK:

Find

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Day 3 ---------------------------------------------------------------

A ________________ is a line that intersects a circle in exactly two points.

Lines j and k are secants of circle C

When two secants intersect inside a circle, the angles formed are related to the arcs they

intercept.

If two secants or chords intersect in the interior of a circle, the measure of an

angle formed is: _________________________

___________________________________

Find x: Find x:

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If two secants,

tangents, or one of

each intersect outside a

circle, then the angle

formed is:

Find the measure of x:

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Find the missing values:

What is the radius of the circle of

which this rainbow is an arc?

(hint: you may want to draw a more

complete figure)