Unit 7 - Circles Review | Baamboozle - Baamboozle

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characteristics of a circle

Study Slideshow

#Review #unit 7 #geometry #chords #parts of a circle #arcs #radius #diameter #tangent line #central angle #sector area #inscribed angle

In circle T with ∠STU = 162 degrees and ST = 19, find the area of the sector STU. Round to the nearest tenths and keep in terms of pi!

162.5 units

In circle E with ∠DEF = 48 degrees and DE = 6, find the area of the sector DEF. Round to the nearest tenths and keep in terms of pi!

4.8π

In circle S with ∠RST= 112 degrees and RS = 7, find the area of the sector RST. Round to the nearest tenths and keep in terms of pi!

15.2π

The point of a circumscribed CIRCLE where all 3 of a triangle's angle bisectors meet

Incenter

The point of a circumscribed CIRCLE where all 3 of a triangle's perpendicular bisectors meet

Circumcenter

What is the formula for the circumference of a circle?

C = 2πr

What is a circumscribed scircle?

A circle that passes/touches all vertices of a polygon.

What are the 2 things you need to calculate the arc length and sector area of a circle?

Radius and Central Angle

How is a circle's sector area different from its arc length?

Sector area requires us to square the radius and arc length requires us to multiply the radius by 2.

What is the relationship between an inscribed and central angle?

The measure of an inscribed angle is HALF the measure of a central angle

How many points on a circle does a tangent line pass thru?