radian measure [circular system]

A circular wire of diameter 168 cm is cut and placed along the circumference of a circle of radius 1.8 meter. The angle subtended by the wire at the center of the circle is ________ => 1 14 π radians or 1 15 π radians or 14 15 π radians or 15 14 π..

What is the measure of the resulting angle in radians after 3 1 2 clockwise revolutions from the terminal side of the angle 4 5 π in standard position? => 39 5 π radians or - 31 5 π radians or - 27 10 π radians or 43 10 π radians..

A circular hole of diameter d = 3 m is digged on a levelled plot of land shown to a depth of 4 m and the sand so obtained is spread evenly over the rectangular portion of measurement a × b = 7 m × 14 m. What is the increase in the level of the rectangular plot? [Take..

Summary - Trigonometry is that branch of mathematics which deals with the measurements of sides and angles of triangles. The figure obtained by rotating a given ray about its end point is called an angle. An angle is called positive if the direction of rotation of ray from initial side to..

In plotting the graph of any trigonometric function the angle may be regarded as measured either in radians or in degrees. If a trigonometric function is combined with an algebraic function it is customary to assume that the angle is measure in radians...

A radian is the angle formed by a half line that has been rotated about its end point of a complete rotation. Let O be the centre of circle of radius r and if the circular arc AB is equal in length to the radius r of the circle, then by definition AB = 1 radian..

It is a new system introduced by General Conference of Weights and Measures in 1960. It is called "Le Systeme International d' Unites..

Free energy of a system is defined as the maximum amount of energy available to a system during a process that can be converted into useful work. In other words it is a measure of capacity of a system to do useful wor..

Degree/radian measures Basic trigonometric functions Special right triangles Trigonometric values of standard angles Justify the Pythagorean identities Trigonometric equations (0 to 360 degrees..

From the physical equilibrium studied above, we have noticed that at equilibrium, some of the measurable properties of the system become constant. These can be summarized as follo..