Two equal arcs of different circles C1 and C2 subtend angles of 60° and 75° respectively, at the centres. What is the ratio of the radius of C1 to the radius of C2?

Two circles touch internally. The sum of their areas is 116π sq. cm and the distance between their centres is 6 cm. The radii of the circles are respectively

X, Y and Z are three equilateral triangles. The sum of the areas of X and Y is equal to the area of Z. If the side lengths of X and Y are 6 cm and 8 cm respectively, then what is the side length of Z?

The radius of a circle is 14 cm and the area of a sector is 102.7 sq. cm. The central angle of the sector is

Two rectangles are of same area equal to 480 square cm. They differ in lengths by 6 cm and breadths by 4 cm. What is the difference in their perimeters?

The area of a circle is 40π² . The area of a square with sides equal to radius of the circle is