A satellite in elliptical orbit speeds up as it approaches the planet—thanks to angular momentum conservation. Learn how to calculate angular speed at perihelion using Kepler’s laws and orbital geometry.

A video entitled "Circumference of a Circle" which shows how to use diameter or radius to calculate the circumference of a circle.

A video entitled "Volume of Cylinders" that covers how changing radius and height impact volume.

A video entitled "Volume of Spheres" that covers how to calculate the volume of a 3D sphere.

A video entitled "Volume of Cones" that covers the how to calculate the volume of a cone using radius and height.

Learn how to calculate the gravitational force between a hollowed-out sphere and a point mass using mass subtraction and superposition—an essential technique for solving complex gravitation problems in AP and IB Physics.

Howcast -You can find the volume of various 3-D objects using a few simple mathematical formulas.

Want to win the prize? Knowing a little math is the key to winning this popular contest.

No matter the size, you can use the same simple formula to determine the volume of a cylinder.

Pupil outcome: I can use the formula for the area of a circle to calculate either the area or a missing measurement. Key learning points: - The area of any circle can be found if the radius is known. - The radius can be calculated from...

Pupil outcome: I can use a pair of compasses to draw different circles. Key learning points: - A pair of compasses can be used to draw a circle with a particular radius. - A pair of compasses can be used to draw two circles that...

Pupil outcome: I can accurately construct circles and triangles using a pair of compasses and protractor respectively. Key learning points: - A pair of compasses can be used to draw a circle with a particular radius. - A ruler and...

Pupil outcome: I can calculate the area of a sector. Key learning points: - Using fractions, you can calculate the area of a sector of a circle. - An exact answer may be given in terms of π - Comparisons can be made between the area and...

Pupil outcome: I can calculate the arc length of a sector and the sector's perimeter. Key learning points: - Using fractions, you can calculate part of the circumference. - This gives the length of the curved section of a sector. - To...

Pupil outcome: I can find the equation of the tangent to a circle at any given point. Key learning points: - Using the gradient of the radius through a given point, you can find the equation of the tangent at this same point. - You have...

Pupil outcome: I can construct a triangle given the three required side lengths. Key learning points: - The first side can be drawn accurately with a ruler - A pair of compasses should be used to indicate potential positions for the...

Pupil outcome: I can use the relationship C=πd to calculate unknown lengths in contexts involving the circumference of circles. Key learning points: - The formula can be used to find the circumference when you know the diameter. - The...

Pupil outcome: I can generate coordinate pairs using the equation of a circle in the form x^2 + y^2 = r^2 and then draw the graph. Key learning points: - A table of values can be useful to identify coordinate pairs which satisfy the...

Pupil outcome: I can recognise that there is a constant multiplicative relationship (π) between the diameter and circumference of a circle. Key learning points: - There is a multiplicative relationship between the radius and diameter of...

Pupil outcome: I can solve area problems of composite shapes involving whole and/or part circles where the area is known and the radius or diameter must be found. Key learning points: - The diameter can be found from the area of circles...

Pupil outcome: I can use the constant cross-sectional area property of cylinders to determine their volume. Key learning points: - A cylinder is not a prism but has a similar structure. - The formula for the volume of a cylinder can be...

Pupil outcome: I can derive and use the theorem: the angle at the centre of the circle is twice the angle at any point on the circumference. Key learning points: - A theorem is a statement that can be demonstrated to be true by accepted...

Pupil outcome: I can understand the derivation of the area of a circle. Key learning points: - A circle can be cut into congruent sectors that are placed together to make a parallelogram. - The length of the parallelogram is half the...

Pupil outcome: I can find the equation of a radius of a circle. Key learning points: - The equation of a circle gives the coordinates of the centre of the circle. - Using this and the coordinates of a point on the circle, you can...