We Need Some Distance
Find the distance between...
M (-5, -8), O (-3 , 7)
Round to the nearest hundredth
15.13
Create an equation of a circle with center (1, -3) that has a radius of 2.
(x-1)2 + (y+3)2 = 4
If the diameter of a circle is 15 inches, what is the radius?
7.5 inches
What are the ratios for sine, cosine, and tangent?
Sine = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
See proof #1
Alternate interior angles
Point M is the midpoint of the line PQ. Find the coordinates of Q if P is (3, -8) and M is (0, -2)
(-3, 4)
Create an equation of a circle that has a center at (-13, -16) and goes through the point (-10, -16).
(x + 13)2 + (y + 16)2 = 9
A dinner plate has a radius of 6 centimeters. What is the area?
113.1
A soccer field is a rectangle 105 meters wide and 68 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run? Round to the nearest whole meter.
125 meters
See proof #2
Alternate interior angles!
There are three Starbucks near your house. Starbucks A is 3 miles west, 8 miles north of your house. Starbucks B is 2 miles east, 7 miles north of your house. Starbucks C is 6 miles east, 5 miles south of your house. Which one is closest to you?
Starbucks B
(x+6)^2 + (y-3)^2 = 81
Are the following points in, on, or outside of the circle.
(3, 3)
(-3, 3)
(-3, -3)
(3, -3)
On
In
In
Out
From the center of a ferris wheel to where you take a seat is 65 feet. How many feet would you travel until you go one full turn?
408.41 feet
Two buildings with flat roofs are 50 feet apart. The shorter building is 40 feet tall. From the roof of the shorter building, the angle of elevation to the edge of the taller building is 48o. How high is the taller building?
95.5 ft
See proof #3
SAS
If the point (9, 40) is on the circumference of a circle centered at (0,0), which one(s) could be on the circumference of the circle as well?
A. (0, 40)
B. (-9, –40)
C. (41, 0)
I, II, and III
x2 + (y+6)2 = 37
A bicycle wheel has a diameter of 21 inches. What is the area?
346.36
A flag pole 20 feet tall casts a shadow 16 feet long at a specific time of day. Find, to the nearest degree, the angle of elevation of the sun at this time of day.
510
See proof #4
HL
You live at coordinate (0, 0). Your friend lives in the middle of coordinates (4, 3) and (2, 7). If each unit is a mile, how many miles does your friend live from you? Round to the nearest hundredth.
5.83 miles
Create an equation where the ends of the diameter: (18, −13) and (4, −3)
(x − 11)2 + (y + 8)2 = 74
A swimming pool with a circumference of 31.42 feet is put into in a square yard with a perimeter of 60 feet. How many square feet of the yard is still grass?
146.46 square feet
A person laying on level ground is 2000 feet away from a 420 foot tall building. What angle will they have to look to see the top of the building?
11.86 degrees
See proof #5
Both sides of BE are equal