Sunil Tanna

You Can Do Math Sunil Tanna

Radians are the preferred unit that mathematicians and scientists use for measuring angles. Likewise steradians are the preferred unit used for measuring solid angles. This book explains the key concepts behind radians and steradians, as well as how to perform mathematical calculations based on these units (including many worked examples, questions for you to do yourself, and answers to those questions to check your results).

Topics covered in the book include: Key terminology associated with circlesA comparison between measuring angles in degrees and other units such as gradiansThe definition of radians How angles can be measured in radiansWhy radians are a "natural" unit for measuring anglesHow many radians correspond to a full circle rotation, half circle rotation, and a quarter circle rotation (right angle) How many degrees correspond to a radianHow to convert degrees into radiansHow to convert radians into degreesConversions of some common angles between degrees and exact radian valuesHow to calculate arc lengths using radiansHow to calculate sector perimeters using radiansHow to calculate sector areas using radiansHow to calculate chord lengths using radiansHow to calculate segment perimeters using radiansHow to calculate major and minor segment areas using radiansRadians usage as an SI UnitSome uses of radians in physicsCommon SI Unit prefixes of radians, and subject areas where you may encounter themMilliradian approximations used in various militaries and in gunneryDimensional analysis involving radiansThe definition of steradiansHow many steradians are in a complete sphere and in a hemisphereHow to calculate the aperture angle of a cone of 1 steradianSome common applications of steradiansDimensional analysis involving steradians