A circular are of radius `1` subtends an angle of `x` radians `0 < x < pi/2` as shown in the figure . the point `r` is the intersection of the two tangent line at `P` and `Q`. let `T(x)` be the area of triangle `PQR` and `S(x)` be the area of the shaded region then find `T(x) & S(x) & lim_(x->0)(T(x))/(S(x))`

A circle arc of radius 1 subtends an angle of x radians as shown in figure. The centre of the circle is O and the point C is the intersection of two tangent lines at A and B. Let T(x) be the area of DeltaABC and S(x) be the area of shaded region. lim_(xto0)(T(x))/(x^(3)) is

A circle arc of radius 1 subtends an angle of x radians as shown in figure. The centre of the circle is O and the point C is the intersection of two tangent lines at A and B. Let T(x) be the area of DeltaABC and S(x) be the area of shaded region. lim_(xto0)(S(x))/x is

A circular arc of wire of radius of curvature r subtends an angle of p/4 radian at its centre. If i current is flowing in it then the magnetic induction at its centre is -

A circle are PQ of radius an angle s radius 0

An arc of length 10cm of a circle of radius 5cm subtends an angle at the center is equal to ( in radians)

A circular arc of length pi cm. Find angle subtended by it at the centre in radian and degree.

A constant magnetic field of 1 T is applied in the x gt 0 region. A metallic circular ring of radius 1 m is moving with a constant velocity of 1 m/s along the x-axis. At t=0 s, the centre O of the ring is at x=-1 m. What will be the value of the induced emf in the ring at t=1s? (Assume the velocity of the ring does not change.)

If alpha_(1) and alpha_(2) be the circular measures of the angles subtended by the arcs of lengths S_(1),S_(2) at the centres of the circles whose radii are a_(1),a_(2) respectively,then show that the angle subtended at the centre by the arc of length (s_(1)+s_(2)) of a circle whose radius is (1)/(n)(a_(1)alpha_(1)+a_(2)alpha_(2)) will be n radians.

A mirror produces on a screen an image of the sun 2cm in diameter. If the sun's disc subtends an angle 0.1 radian on the surface of the earth, then the radius of curvature of the mirror is

Consider the following statements : 1. The angular measure in radian of a circular arc of fixed length subtending at its centre decreases if the radius of the arc increases. 2. 1800^(@) is equal to 5 pi radian . Which of the statements "is/are" correct ?