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Grade 7 - Mathematics9.3 The Area of a Circular Path - I

 Example: The outer and inner radii of a ring are 65 cm. and 47.5 cm. Find the area of the ring (circular path). Solution: Given that, R = 65 cm and r = 47.5 cm. The area of the ring = p(R+r)(R-r). = 22/7 * (65 + 47.5) * (65 - 47.5) = 22/7 * 112.5 * 17.5 = 43312.5 / 7 = 6187.5 sq cm. Directions: Read the above example carefully and answer the following questions. Draw 10 different rings and represent each with different color. Find the area of each of them.
 Q 1: The inner radius of a ring is 35.8 cm. Find the outer radius if its area is given by 1000.56 sq cm.25 cm56 cm35.8 cm40 cm Q 2: The outer and inner radii of a ring are 17.5x cm and 15.75x cm. Find x if its area is given by 731.5 sq cm.4 cm2 cm3 cm1 cm Q 3: The outer and inner radii of a ring are 50 cm and 29 cm. Find its area.5168 sq cm5124 sq cm6526 sq cm5126 sq cm Q 4: The inner radius of a ring is 42 cm. Find the outer radius if its area is given by 4312 sq cm.56 cm42 cm55 cm41 cm Q 5: The outer and inner radii of a circular path are (138/6) cm and (129.6/6) cm. Find its area.192.6 sq cm192.4 sq cm169.24 sq cm196.24 sq cm Q 6: The outer radius of a ring is 25 cm. Find the inner radius if its area is given by 108.46 sq cm.21.2 cm24.3 cm25.5 cm25.1 cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!