ABCDEF is a regular hexagon of side 12 cm. What is the area (in cm2) of the triangle ECD?

In the given figure, ABCD is a square. EFGH is a square formed by joining mid points of sides of ABCD. LMNO is a square formed by joining mid points of sides of EFGH. A circle is inscribed inside EFGH. If area of circle is 38.5 sq.cm, the what is the area (in sq.cm) of square ABCD?

PQR is a triangle, whose area is 180 cm2. S is a point on side QR, such that PS is the angle bisector of ∠QPR. If PQ : PR = 2 : 3, then what is the area (in cm2) triangle PSR?

In the given figure, PQRS is a quadrilateral. If QR = 18 cmand PS = 9 cm,then what is the area (in sq. cm) of quadrilateral PQRS?

The distance between the centres of two circles is 61 cm and their radii are 35 cm and 24 cm. What is the length (in cm) of the direct common tangent to the circles?

In the given figure, P  is the center of the circle. If QS = PR, then what is the ratio of angles RSP to the TPR ?

In the given figure, PQR is a right angled triangle at Q. If PQ = 35 cm and QS = 28 cm, then what is the value (in cm) of SR?

In the given figure, MNOP is a square of side 6 cm. What is the value ( in cm ) of radius of circle?