A circle of radius `2sqrt(10)cm` is divided by chord of length `12cm` into two parts. If maximum area of rectangle inscribed into smaller circular segment is `lambda` ,then `(lambda)/(sqrt(15))` is

A circle has radius sqrt2 cm it is divided into 2 segments by a chord of length 2cm prove that angle subtended by the chord at a point in major segment is 45^@

Show that the rectangle of maximum perimeter which can be inscribed in a circle of radius 10 cm is a square of side 10sqrt(2) cm.

In a circle with centre O and radius 5cm, AB is a chord of length 5sqrt(3)c m . Find the area of sector A O Bdot

In a circle of radius 6 cm, a chord of length 10 cm makes an angle of 110o at the centre of the circle. Find (i) the circumference of the circle, (ii) the area of the circle

A chord of circle divides the circle into two parts such that the squares inscribed in the two parts have area 16 and 144 square units. The radius of the circle , is

Show that the height of the right circular cone of maximum volume that can be inscribed in a sphere of radius 12 cm is 16 cm.

A B is a chord of length 16cm of a circle of radius 10cm. The tangents at A and B intersect at a point P . Find the length of P A .

A reactangle with one side 4 cm is inscribed in a circle of radius 2.5 cm. Find the area of the rectangle

In a circle of radius 6cm, a chord of length 10cm makes an angle of 110^0 at the centre of the circle. Find: the circumference of the circle the area of the circle the length of the arc AB, the area of the sector OAB

If the hypotenuse of an isosceles right triangle is 7 sqrt2 cm, find the area of the circle inscribed in it