A boy on a cycle pedals around a circle of 20 metres radius at a speed of \[20\,metres/\sec .\] The combined mass of the boy and the cycle is 90 kg. The angle that the cycle makes with the vertical so that it may not fall is \[(g=9.8\,m/{{\sec }^{2}})\] [MP PMT 1995]

• A. \[{{60.25}^{o}}\]
• B. \[{{63.90}^{o}}\]
• C. \[{{26.12}^{o}}\]
• D. \[{{30.00}^{o}}\]