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### Geometry4.22 The Area of a Circular Path - III

 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: Read the above example carefully and answer the following questions. Also write 10 examples of your own.
 Q 1: The area of circular park is 1886.5 square metres. A path of width 7 metres is laid around and inside of it. Find the area of the path.934 sq m914 sq m924 sq m944 sq m Q 2: The area of circular park is 1386 square metres. Find the width of the path laid around and inside of the circular park if the area of the path is given by 1377.5 sq m .16.34 m15.5 m17.5 m18 m Q 3: A path of width 10.5 metres is laid around and inside of a circular park. Find the area of the circular park if the area of the path is given by 2656.5 square metres.6345.5 sq m6506.5 sq m6723.5 sq m6508.5 sq m Q 4: The area of circular park is 616 square metres. A path of width 4.9 metres is laid around and inside of it. Find the area of the path.355.76 sq m355.74 sq m354.75 sq m255.74 sq m Q 5: The area of circular park is 154 square metres. A path of width 3.5 metres is laid around and inside of it. Find the area of the path.105.5 sq m120.5 sq m110.5 sq m115.5 sq m Q 6: A path of width 1.4 metres is laid around and inside of a circular park. Find the area of the circular park if the area of the path is given by 425.04 square metres.7189 sq m7054 sq m7534 sq m7546 sq m Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!