Точка \( D \) делит основание \( A B \) равнобедренного треугольника \( A B C \) в отношении \( 2: 1 \), считая от вершины \( A \). Радиус окружности, описанной около треугольника \( A D C \), равен 12 . Найдите радиус окружности, описанной около треугольника \( B D C \).

5. \( \sqrt{6^{2}+8^{2}} \)

Find the equation of \( 4 x^{2}+4 y^{2}=9 \) in cylindrical coordinates.

7. The radius of a semicircular garden is 28 m . How much more distance has one to cover for going from A to B on the circular path instead of going on diametrical path? \( \begin{array}{llll}\text { (Choose two correct alternatives.) } \\ \text { (1) } 7.2 \mathrm{~m} & \text { (2) } 32 \mathrm{~m} & \text { (3) } 0.32 \mathrm{hm} & \text { (4) } 320 \mathrm{~cm}\end{array} \)

If the volume of a sphere is given as \( 904.32 \:cm^{3} \), what is the radius of that sphere?

1. The perimeter of a rectangle with length 50 cm and breadth 25 cm is - \( \begin{array}{llll}\text { a) } 1250 \mathrm{~cm} & \text { b) } 150 \mathrm{~cm} & \text { c) } 75 \mathrm{~cm} & \text { d) none of these }\end{array} \)