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### Grade 8 - Mathematics3.41 Ring - II

 Example: The area of circular park is 2464 square metres. A path of width 7 metres is laid around and inside of it. Find the area of the path. Solution: The area of the circular part of the outer ring. Let its radius be R metres. So, pR2 = 2464 R2 = 7/22 * 2464 R2 = 7 * 112 R2 = 784 Taking square root on both sides. R = 28 Let the radius of the inner ring be r metres. Therefore, R - r = 7 So, r = R - 7 r = 28 - 7 r = 21 Therefore, the area of the circular path = p(R + r)(R - r) = 22/7 * 49 * 7 = 12166/7 = 1738 Square metres. Directions: Solve the following problems. Also write at least ten examples of your own.
 Q 1: The area of circular park is 6506.5 square metres. A path of width 10.5 metres is laid around and inside of it. Find the area of the path.265.65 Sq. mt.26565 Sq. mt.2656 Sq. mt.2656.5 Sq. mt. Question 2: This question is available to subscribers only!