Shade:
`1/2` of the circles in box

Shade: 2/3 of the traingles in box

Shade: 3/5 of the squares in box.

Shade : (1)/(3) of the rectangles in box (a) (ii) (2)/(3) of the circles in box (b) (iii) (1)/(2) of the triangles in box (c )

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

In the fig. fourth quadrant of a circle is OACB where O is the centre of the circle and radius of the circle is 3.5 cm. Find the area of fourth quadrant of the circle.and find the area of shaded portion of the part ADBC if OD=2cm (pi=22/7)

A circle x^2+y^2+4x-2sqrt(2)y+c=0 is the director circle of the circle S_1a n dS_1 is the director circle of circle S_2, and so on. If the sum of radii of all these circles is 2, then the value of c is ksqrt(2) , where the value of k is___________

If two chords having lengths a^2- 1 and 3 (a + 1), where a is a constant of a circle bisect each other, then the radius of the circle is :

Determine the equation of the circle whose diameter is the chord x + y = 1 of the circle x^2 +y^2= 4 .