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# Category Archives: Circles

## 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!

## Centroid Circumcenter Incenter Orthocenter properties example question

In this video you will learn the basic properties of triangles containing Centroid, Orthocenter, Circumcenter, and Incenter. Then you can apply these properties when solving many algebraic problems dealing with these triangle shape combinations.

Solution to this Centroid Circumcenter Incenter Orthocenter Geometry practice problem is provided in the video below!

## 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

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!