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### Grade 7 - Mathematics9.21 Perimeter of a Sector

 Example: The area of a sector whose radius is 8 cm is 120 sq cm. Find the perimeter of the sector. Solution: Given that, A = 120 sq cm and r = 8 cm. Formula A = lr/2 l = 2A/r l = (2*120) / 8 Therefore, l = 30 cm. Hence the perimeter of the sector = r + r + l = 8 + 8 + 30 = 46 cm. Directions: Read the above example carefully and answer the following questions. Also make 10 different examples of your own.
 Q 1: The radius of a sector is 16.8 cm. Find its area if the perimeter of the sector is given by 17.6 cm.147.84 sq cm187.13 sq cm186.61 sq cm148.25 sq cm Q 2: The radius of a sector is 7 cm. Find the area of a sector if the perimeter of the sector is given by 64 cm.166 sq cm175 sq cm154 sq cm156 sq cm Q 3: The area of a sector is 985.6 sq cm. Find the radius if the perimeter of the sector is given by 126.4 cm.28 cm24 cm22 cm17 cm Q 4: The area of a sector whose radius is 14 cm is 123.2 sq cm. Find the perimeter of the sector.15 cm45.6 cm45 cm17.6 cm Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!