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### Grade 8 - Mathematics3.39 Perimeter of a Sector

 Example: The area of a sector whose radius is 9cm is 130 sq.cm. Find the perimeter of the sector. Solution: Given that, A = 130 sq.cm., r=9 cm. Formula A = lr/2 Therefore, l = 2A/r l = (2*130)/9 l = 28.89 cm. Hence the perimeter of the sector = 2r + l = 2*9 + 28.89 = 46.89 cm. Directions: Solve the following problems and correct the answer at two decimal place. Also write at least ten examples of your own.
 Q 1: The area of a sector whose radius is 10.5 cm is 180 sq.cm. Find the perimeter of the sector.54.29 Sq.cm.56.29 Sq.cm.55.29 Sq.cm.53.29 Sq.cm. Q 2: The area of a sector whose radius is 16.3 cm is 280 sq.cm. Find the perimeter of the sector.97.96 Sq.cm.94.96 Sq.cm.65.96 Sq.cm.66.96 Sq.cm. Q 3: The area of a sector whose radius is 15 cm is 230 sq.cm. Find the perimeter of the sector.60.67 Sq.cm.59.67 Sq.cm.61.67 Sq.cm.None of these Q 4: The area of a sector whose radius is 21.3 cm is 330 sq.cm. Find the perimeter of the sector.74.59 Sq.cm.73.59 Sq.cm.72.59 Sq.cm.75.59 Sq.cm. Q 5: The area of a sector whose radius is 9.6 cm is 170 sq.cm. Find the perimeter of the sector.54.32 Sq.cm.55.32 Sq.cm.56.32 Sq.cm.53.32 Sq.cm. Q 6: The area of a sector whose radius is 15.7 cm is 250 sq.cm. Find the perimeter of the sector.49.52 Sq.cm.52.52 Sq.cm.51.52 Sq.cm.50.52 Sq.cm. Q 7: The area of a sector whose radius is 8 cm is 150 sq.cm. Find the perimeter of the sector.54.5 Sq.cm.55.5 Sq.cm.53.5 Sq.cm.52.5 Sq.cm. Q 8: The area of a sector whose radius is 7.8 cm is 130 sq.cm. Find the perimeter of the sector.48.93 Sq.cm.49.93 Sq.cm.None of these47.93 Sq.cm. Question 9: This question is available to subscribers only! Question 10: This question is available to subscribers only!