Triangles
Trigonometry
Volumes & Areas
Circles
Formulas
Vocabulary
100
Which side of a triangle is always the longest?
The hypotenuse
100
What is the acronym for remembering your trigonometric ratios?
SOH-CAH-TOA
100
Name three parts of a circle.
circumfrence, diameter, radius, chord, arc, sector, central angle, inscribed angle
100
Area of a triangle
(b*h)/2
or
b*h*1/2
100
The distance from the center of a circle to its circumfrence
radius
200
What is the leg of a 45-45-90 triangle if the hypotenuse is
6sqrt2
6
200
Trigonometric Functions apply to ALL triangles. True or False
False
200
What two features define a tangent line to a circle?
It creates a 90 degree angle with the radius
It intersects the circle only once
200
Circumfrence
2*pi*r
200
Two lines that intersect at a right angle are...?
Perendicular
300
If the short side of a 30-60-90 triangle is x, what is the hypotenuse and the other leg?
hypotenuse: 2x
leg:
xsqrt3
300
solve for x
44.7
(29*tan(57))=x
300
How do you find the surface area of a three dimensional object?
Find the area of each side (face) and add them together.
300
Find the angle measure
34 degrees
300
Midpoint
((x1+x2)/2,(y1+y2)/2)
300
A piece of a circle's area
sector
400
Name two centers of a triangle
Orthocenter, incenter, circumcenter, centroid
400
What shape does this formula find the area of:
1/2 (b1+b2)h
Trapezoid
400
What is the difference between an insribed angle and a central angle?
A central angle's vertex is the center of a circle and has the same measure as the arc length. An inscribed angle's vertex is on the circumfrence of the circle and its measure is HALF of the arc length
400
Explain the difference between finding the volume of a PRISM vs a PYRAMID (or cone)
The volume of a pyramid is the same as the volume of a prism except that you divide it by 3 (or multiply it by 1/3)
400
When finding dilated volume, surface area or a single dimension we use this.
(often symbolized by the letter k)
scale factor
500
Name this center:
Circumcenter (Center of the circumscribed circle)
Created by creating perpendicular bisectors to sides of a triangle
500
Find the arc length
14pi
500
Distance between two points
sqrt((x1-x2)^2+(y1-y2)^2
500
A line from a vertices of a triangle which forms a right angle with the opposite side
altitude
600
What is unique about a right triangle that is inscribed in a circle?
It's hypotenuse will be the diameter
600
Find the sector area:
(49pi)/2
600
I have two boxes that I need to wrap. One is a mini version of the larger one by a scale factor of 1/4. The little one takes 36 square inches to wrap. How much wrapping paper will the larger one take?
36 x 42 = 576 square inches
600
Define a cyclic quadrilateral
It will have all 4 points on the circumfrence of a circle AND it's opposite angles will add up to 180 degrees.