Unit 7 - Circles Review | Baamboozle - Baamboozle

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Name the diameter for circle O

HI

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

Circumcenter

This is an an angle whose vertex is at the center of the circle.

Central Angle

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 do you find the sector area of a circle?

Divide central angle by 360, multiply by the radius square

In circle S with ∠RST = 102 and RS = 6 units, find the length of arc RT. Round to the nearest hundredth.

RT = 10.68

Which of the rays or segments below is a chord of circle O?

IK

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

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 formula for the circumference of a circle?

C = 2πr

What is the formula for the area of a circle?

A=πr^2

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

Radius and Central Angle

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

In circle Q with ∠PQR = 30 and PQ = 5 units, find the length of arc PR. Round to the nearest hundredth.

PR = 2.62

What is a line segment from center of a circle to its edge

Radius

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

1

This is an an angle whose vertex is on the edge of the circle.

Inscribed Angle

This is the portion of a circle between 2 points on the edge

Arc

What is a line segment with endpoints on a circle’s edge

Chord

This is the region of a circle enclosed by two radii

Sector

What is a circumscribed scircle?

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

This is a line perpendicular to a radius intersecting through one point is the ________________________

Tangent Line

What is a line segment passing through center of a circle

Diameter

In circle G with ∠FGH = 86 and RS = 16 units, find the length of arc FH. Round to the nearest hundredth.

FH = 24.02

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

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

Incenter

Which of the rays/segments represents the radius of circle O?

OK, OI, OH