Length of Arc Question7

In this page length of arc question7 we are going to see quiz on the topic length of arc. First we are going to see solution of question 7.

 Length of arc = (θ/360) x 2Πr

here θ - angle formed by two radius

       r - radius

Now we are going to see solution of question 1 based on this formula.

Question 1 :

Find the length of arc whose radius is 42 cm and central angle is 60°



(A) 22 cm
(B) 44 cm
(C) 68 cm




Question 2 :

Find the length of arc whose radius is 21 cm and central angle is 120°



(A) 87 cm
(B) 56 cm
(C) 44 cm




Question 3 :

Find the length of arc whose radius is 35 cm and central angle is 72°



(A) 64 cm
(B) 44 cm
(C) 66 cm




Question 4 :

Find the length of arc whose radius is 10.5 cm and central angle is 36°



(A) 6.6 cm
(B) 4.4 cm
(C) 8.7 cm




Question 5 :

Find the length of arc whose radius is 14 cm and central angle is 5°



(A) 5.66 cm
(B) 1.22 cm
(C) 8.77 cm




Question 6 :

Find the length of arc whose radius is 28 cm and central angle is 90°



(A) 64 cm
(B) 44 cm
(C) 66 cm




Question 7 :

Find the length of arc whose radius is 14 cm and central angle is 288°

Solution :

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 288° and radius (r) = 14 cm

                  = (288°/360) x 2 x (22/7) x 14

                  = (144/180) x 2 x 22 x 2

                  = (72/90) x 2 x 22

                  = (72/45) x 2 x 22

                  = (72 x 22 x 2)/45

                  = 3168/45

                  = 70.4 cm

Therefore length of arc = 70.4 cm


Question 8 :

Find the length of arc whose radius is 10.5 cm and central angle is 45°



(A) 7.42 cm
(B) 4.85 cm
(C) 8.25 cm




Question 9 :

Find the length of arc whose radius is 35 cm and central angle is 18°



(A) 11 cm
(B) 44 cm
(C) 23 cm




Question 10 :

Find the length of arc whose radius is 35 cm and central angle is 35°



(A) 11 cm
(B) 44 cm
(C) 23 cm




These are the questions in the page length of arc worksheets.length of arc question7

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