Formulas
Vocab
Circle Problems
Area of Regular Polygon Problems
Miscellaneous
100

Formula for area of a circle. 

What is πr²?

100

An angle with a vertex that is the center of a circle.

What is a Central Angle?


100

A regular quadrilateral has an apothem of 5in and a side length of 10 in.

What is 100in2?

100

The name of a polygon with 9 sides.

What is a nonagon?

200

Formula for circumference of a circle. (Both of them)

What is (πd) and 2πr?

200

The distance around a circle.

What is Circumfrence?

200

The area of a circle with a diameter of 20in.

What is 100π in2? (Reminder: you solve for area with radius, not diameter)

200

The area of a regular hexagon with a side length of 4in.

What is 24√3in2?

200

The polygon whose apothem and radius form a 30,60,90 triangle.

What is a hexagon?

300
(Measure of Arc)/360 × (2πr)

What is the formula for length of an arc.

300

The Apothem.

What is the distance from any side of a regular polygon to the center of the polygon?

300

Half of the radius of a circle is 2in, to the nearest tenth, what is the circumference of the circle.

C = 25.1 in

300

What is the best way to Study for the Math Final.

Watch YouTube videos, use the Final review packet and do some practice problems! Review the unit packets!

Do NOT just look at the answer sheet, do the problem first.

400

1/2a x P

What is the formula for Area of a Regular Polygon.

400

An angle who's vertex lies on the circle and who's sides are chords in the circle. 

What is an inscribed angle?

400

https://docs.google.com/drawings/d/1Fi56i77UGa29DexZYn3yGViBcDzsDOpdvvQ-IJsU91c/edit

Find the area of the shaded sector to the nearest tenth.

A = 28.3 in2

400

A heptagon has an apothem of 5m. Find the area. Round to the nearest tenth.

What is 84.3m2?

400

The person credited with discovering pi.

Who is Archimedes?

500

(Measure of Arc the sectors endpoints cutoff)/360 x πr²

What is the formula for area of a sector.

500

A Chord. A Radius. A Diameter. A Secant. A Tangent. 

Chord: What is a segment with endpoints lying on the circle?

Radius: What is a segment with one endpoint located in the center of a circle and another endpoint on the circle?

Diameter: What is a chord that passes through the center of the circle?

Secant: What is a line that intersects a circle at two points?

Tangent: What is a line that touches the circle at exactly one point? 

500

John wants to make a circle gazebo in his square yard. His yard is currently 100 square feet. After he builds the gazebo he wants there to be 64 square feet remaining. What should the diameter of the Gazebo be. Round to the nearest tenth.

What is 6.8ft?

500

Toby is designing a UFC ring. He knows that UFC rings must be regular octagons with an area of 750ft2. He wants to find the side length of the octagon he must make. Round to the nearest hundredth.

What is 12.46 ft?

500

The arc addition postulate.

What is the measure of the arc formed by adjacent arcs is the sum of the measures of the two arc?