In this paper a novel encryption technique is proposed based on the (x,y) points generated by circle for securing data in the cloud[32] . In this research a new mapping method introduced to convert an plaintext value to a point on a predefined circle over finite field GF(p) using a map table. This mapping technique is very fast with low complexity and computation, easy to implement and for low entropy plain text data, mapping will results a high distribution of different points for repetitive intensity values. Encryption and decryption process are given in details with implementation. After applying encryption, security analysis is performed to evaluate the robustness of proposed technique to statistical attacks [11, 12]. The targeted application for this crypto system is on cloud data.