## About "Length of arc worksheets"

Length of arc worksheets :

Here we are going to see some practice problems on length of arc.

Length of arc = (θ/360) x 2Πr

here θ - central angle

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

## Length of arc worksheets - Practice questions

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

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

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

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

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

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

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

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

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

(10)  Find the length of arc whose radius is 21 cm and central angle is 30°

Question 1 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 60° and radius (r) = 42 cm

=  (60°/360) x 2 x (22/7) x 42

=  (1/6) x 2 x 22 x 6

=  2 x 22

=  44 cm

Hence, the length of arc is 44 cm.

Question 2 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 120° and radius (r) = 21 cm

=  (120°/360) x 2 x (22/7) x 21

=  (1/3) x 2 x 22 x 3

=  2 x 22

=  44 cm

Hence, the length of arc = 44 cm

Question 3 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 72° and radius (r) = 35 cm

=  (72°/360) x 2 x (22/7) x 35

=  (2/10) x 2 x 22 x 5

=  (1/5) x 2 x 22 x 5

=  44 cm

Hence, length of arc = 44 cm

Question 4 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 36° and radius (r) = 10.5 cm

=  (36°/360) x 2 x (22/7) x 10.5

=  (1/10) x 2 x (22/7) x 10.5

=  (1/5) x (22/7) x 10.5

=  (22/7) x 2.1

=  22 x 0.3

=  6.6 cm

Hence, the length of arc = 6.6 cm

Question 5 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 5° and radius (r) = 14 cm

=  (5°/360) x 2 x (22/7) x 14

=  (1/72) x 2 x 22 x 2

=  (1/36) x 2 x 22

=  (1/18) x 22

=  (1/9) x 11

=  11/9

=  1.22 cm

Hence, the length of arc = 1.22 cm

Question 6 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 90° and radius (r) = 28 cm

=  (90°/360) x 2 x (22/7) x 28

=  (1/4) x 2 x 22 x 4

=  2 x 22

=  44 cm

Hence, the length of arc = 44 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

Hence, the length of arc = 70.4 cm

Question 8 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 45° and radius (r) = 10.5 cm

=  (45°/360) x 2 x (22/7) x 10.5

=  (9/72) x 2 x 22 x 1.5

=  (1/8) x 2 x 22 x 1.5

=  (1/4) x 22 x 1.5

=  (1/2) x 11 x 1.5

=  8.25 cm

Hence, the length of arc = 8.25 cm

Let us see the solution of next problem on "Length of arc worksheets"

Question 9 :

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

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 18° and radius (r) = 35 cm

=  (18°/360) x 2 x (22/7) x 35

=  (1/20) x 2 x 22 x 5

=  (1/10) x 2 x 22 x 5

=  (1/2) x 2 x 22

=  11 cm

Hence, the length of arc = 11 cm

Let us see the solution of next problem on "Length of arc worksheets"

Question 10 :

Find the length of arc whose radius is 21 cm and central angle is 30° Solution :

Length of arc = (θ/360) x 2 Π r

Here central angle (θ) = 35° and radius (r) = 35 cm

=  (30°/360) x 2 x (22/7) x 35

=  (1/12) x 2 x 22 x 5

=  (1/6) x 22 x 5

=  (1/3) x 11 x 5

=  55/3 cm

=  18.3 cm

Hence, the length of arc = 18.3 cm

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