+32 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
+32 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.
