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Use the given dimensions to find the length of each circular arc. (Round your answers to two decimal places.)

 

(a) a = 60, C = 18 cm =_____cm

(b) a = 76, r = 4 ft = ______ft

(c) a = 145 C = 53 in = _______in

(d) a = 150º 9 m = _______m

 Jun 19, 2021
 #1
avatar+32 
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Formula Solution for Finding Arc Length: 2*pi*r(0/360) 

 

Use the given dimensions to find the length of each circular arc. (Round your answers to two decimal places.)

 

a)   a= 60, C= 18cm                                             

     = 2*pi*r(0/360)     Write the formula for Arc Length.

     18 = 2*pi*r           Substitute 18 for 2*pi*r. 

     = 18(60/360)        Substitute 60 for 0/360. 

     = 3                      Use a Calculator

 

b) a = 76, r= 4 ft.

    = 2*pi*r(0/360)      Write the formula for Arc Length

    = 2*pi*4(76/360)     Substitute 4 for r and 76 for 0/360.

    = 5.30 ft               Use a calculator.

 

C) a= 145°, C= 53 in

   = 2*pi*r(0/360)       write the formula for Arc Length

   53 = 2*pi*r           substitute 53 for 2*pi*r.

   = 53(145/360)        Substitute 145 for 0/360.

   = 21.35                 Use a calculator.

 

d) a= 150°, r= 9m

   = 2*pi*r(0/360)      Write the formula for Arc Length

   = 2*pi*9(150/360)    Substitute 9 for r and 150 for 0/360. 

   = 23.56 m              Use a calculator. 

 Jun 20, 2021

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