Length of Arc Worksheets

In this page length of arc worksheets we are going to see quiz on the topic length of arc. First you can see the formula to be used and one example problem to understand of solving the following worksheet.

 Length of arc = (θ/360) x 2Πr

here θ - central angle 

       r - radius

Now we are going to see example problems based on this formula.

Example :

Find the length of-arc whose radius is 7 cm and central angle 90 degree

Solution:

Here θ = 90 degree

r = 7 cm

 Length of-arc = (θ/360) x 2Πr

                                =  (90/360) x 2 x (22/7) x 7

                                =  (1/4) x 2 x 22

                                =   (1/2) x 22

                                =   11 cm


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°



(A) 74.2 cm
(B) 48.5 cm
(C) 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 21 cm and central angle is 30°



(A) 18.3 cm
(B) 44.5 cm
(C) 23.2 cm




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

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Length of Arc Worksheets to Algebra