Geometry

Area, volume, the Pythagorean theorem, distance and angles.

• Use the Pythagorean theoremFind the long side (hypotenuse) of a right triangle from the two shorter sides.
• Distance between two pointsFind how far apart two points are on a graph, using the distance formula.
• Find the midpoint of a segmentAverage the x values and the y values of two points to find the point halfway between them.
• Find the slope of a lineWork out rise over run between two points, such as (2, 1) and (6, 4).
• Area of a circleUse A = πr² to find the area of a circle with radius 5.
• Area of a triangleFind a triangle area from base and height, or from three side lengths with Heron's formula.
• Volume of a cylinderUse V = πr²h for a cylinder with radius 3 and height 10.
• Volume of a sphereUse V = (4/3)πr³ for a sphere with radius 6.
• Volume of a coneUse V = (1/3)πr²h for a cone with radius 3 and height 7.
• Surface area of a boxAdd the area of all six faces of a rectangular box (8 by 5 by 3).
• Angles in a polygonFind the sum of the inside angles and the size of each angle in a regular polygon.
• Degrees, minutes and secondsConvert an angle between decimal degrees (35.5125) and degrees-minutes-seconds (35°30'45").