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Category Archives: Central Angle
Angular Speed and Linear Speed problems
Converting between Angular Speed and Linear Speed example question
The angular speed ω of a point moving in a circle is defined as the quotient θ/t, where θ is the angle in radians through which the point travels in time t.
a) Find the angular speed of a point that moves through an angle of 4 radians in 6 seconds
b) Find the angular speed of a point on the rim of a wheel that travels at 60 rpm (revolutions per minute)
c) Show that the linear speed v of a point moving in a circle is related to the angular speed by the formula v = rω
d) A car is moving at the rate of 60 miles per hour, and the diameter of each wheel is 2.5 feet. Find the angular speed of the wheels.
Solution to this Angular Speed Linear Speed practice problem is provided in the video below!
Two Column Geometry Proof problems
Two Column Geometry Proof Intersecting Lines example problem
Given: GA = RA, AH = AT
Prove: GT is congruent to RH
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Trapezoid example
Given: AD = 8, BC = 8, and BC is congruent to CD
Prove: AD is congruent to CD
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Circle example question
Given: 
is a diameter
Prove: (CD)2 = (AD)(DB)
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Triangle example problem
Given: 
Prove: 
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Triangle example #2
Given: 
with 
the bisector of 
Prove: BFDE is a rhombus
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Circle example question #2
Given: Circle with center O and diameter
Prove: 
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Kite example problem
Given: Kite ABCD with 
E, F, G, H are midpoints of 
Prove: EFGH is a rectangle
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Triangle example #3
Given: 
bisects 
is a perpendicular bisector of
Prove: 
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Triangle example question #4
Given: is isosceles and 
Prove: 
Solution to this Two Column Geometric Proof practice problem is given in the video below!
Two Column Geometry Proof Parallel Lines Transversal Triangle example problem
Given: 
bisects 
bisects 
Prove: 
Solution to this Two Column Geometric Proof practice problem is given in the video below!
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