Inequalities
Circles
Vocab
Area Problems
Theorems
100
If a>b and b>c, then...
a>c
100
The circumference of a circle is...
2 pi r
100
What is a section of a circle's circumference?
An arc
100
What is the area of a circle with radius 5?
25 pi
100
The longest side in a triangle is opposite the _____ angle
Biggest
200
If a=b+c and c>0, then...
a>b
200
The area of a circle is...
pi r squared
200
What is the slice of a circle made by two radii? (ice cream cone)
A sector
200
A circle has a radius of 6. What is the area of a sector of this circle where the arc length equals 3 pi?
9 pi
200
In a triangle, the sum of the lengths of any two sides must be...
Greater than the length of the third side
300
If a>b and c>0, then...
ac>bc
300
The length of an arc is...
(d/360) x 2 pi r
300
What is a line that connects two points on the circumference of a circle?
A chord
300
A circle has a radius of 12. What is the area of a segment with an arc length of 4 pi?
24 pi - 36√3
300
∠C of ∆ABC is right iff BC^2+AC^2 ________
=AB^2
400
If a>b and c<0, then...
ac<bc
400
The area of a sector is...
(d/360) x pi r squared
400
What is the slice of a circle made by a chord?
A segment
400
What is the area of the shaded section of the picture Grace is about to draw?
18 pi - 36
400
∠C of ∆ABC is acute iff BC^2+AC^2 ________
>AB^2
500
If a>b and c≥d, then...
a+c>b+d
500
What is the area of a segment?
[sector] - [triangle]
500
What is a line that intersects a circle at two points?
A secant
500
What is the area of the shaded section of the picture Grace is about to draw?
9√3 - 4.5 pi
500
∠C of ∆ABC is obtuse iff BC^2+AC^2 ________
<AB^2