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### Geometry4.20 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 outer and inner radii of a circular path are 9.33y cm. and 8.4y cm. Find y if its area is given by 468.16 sq cm.3 cm6 cm1 cm2 cm Q 2: The inner radius of a ring is 42 cm. Find the outer radius if its area is given by 4312 sq cm.55 cm42 cm41 cm56 cm Q 3: The outer and inner radii of a ring are 80 cm and 69.5 cm. Find its area.5632 sq cm4933.5 sq cm3933.5 sq cm5621 sq cm Q 4: The outer and inner radii of a circular path are (138/6) cm and (129.6/6) cm. Find its area.169.24 sq cm192.4 sq cm196.24 sq cm192.6 sq cm Q 5: The outer and inner radii of a ring are 50 cm and 29 cm. Find its area.5126 sq cm5168 sq cm6526 sq cm5124 sq cm Q 6: The inner radius of a ring is 35.8 cm. Find the outer radius if its area is given by 1000.56 sq cm.35.8 cm56 cm25 cm40 cm Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!