Perimeter of Sector Question4

In this page perimeter of sector question4 we are going to see solution of first problem in this worksheet. After verifying the solution you can continue the quiz on the page itself. After that you can try the remaining questions and check the answer by clicking option and submit answer.

Perimeter of the sector = L + 2r

L - length of sector

r - radius

Question 1 :

Find the perimeter of sector whose radius is 42 cm and central angle is 60°



(A) 122 cm
(B) 128 cm
(C) 168 cm




Question 2 :

Find the perimeter of sector whose radius is 21 cm and central angle is 120°



(A) 86 cm
(B) 48 cm
(C) 68 cm




Question 3 :     perimeter of sector question4

Find the perimeter of sector whose radius is 35 cm and central angle is 72°



(A) 186 cm
(B) 149 cm
(C) 114 cm




Question 4 :

Find the perimeter of sector whose radius is 10.5 cm and central angle is 36°

Solution :

In this problem we need to find the perimeter of the sector.For that we can use the formula (L+2r). But here we don't have L,to find that let us use the formula 

Length of arc = (θ/360) x 2Πr

Here θ = 36° and r = 10.5 cm

                  = (36/360) x 2 x (22/7) x 10.5

                  = 1/10 x 2 x (22/7) x 10.5

                  =  (1/10) x 2 x (22/7) x 10.5

                  =  (1/5) x (22/7) x 10.5

                  =  (22/7) x 2.1

                  =  22 x 0.3

          So L = 6.6 cm


Perimeter of the sector = L + 2r

                                        = 6.6 + 2 (10.5)

                                        = 6.6 + 21

                                        = 27.6 cm

Therefore perimeter of sector = 128 cm


Question 5 :

Find the perimeter of sector whose area is 770 square cm and central angle is 90°



(A) 46√5 cm
(B) 50√5 cm
(C) 57√5 cm




Question 6 :

Find the perimeter of sector whose area is 30.8 square cm and central angle is 72°



(A) 22.8 cm
(B) 25.2 cm
(C) 23.4 cm




Question 7 :

Find the perimeter of sector whose area is 616 square cm and central angle is 90°



(A) 228 cm
(B) 152 cm
(C) 100 cm




Question 8 :

Find the perimeter of sector whose area is 154 square cm and radius is 28



(A) 59.14 cm
(B) 42.18 cm
(C) 62.56 cm




Question 9 :

Find the perimeter of sector whose area is 77 square cm and radius is 14



(A) 59 cm
(B) 42 cm
(C) 39 cm




Question 10 :

Find the perimeter of sector whose length of arc is 56 cm and radius is 21      perimeter of sector question4



(A) 95 cm
(B) 98 cm
(C) 46 cm



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