Question

Find the length of each highlighted Arc. Leave your answers in terms of pie.


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Answer 1

Explanation:

if you divide an arc's degree measure by 360°

you find the fraction of the circle's circumference that the arc makes up Then if you multiply the length all the way

Answer 2

Method 1:

The formula for arc length is:

`(AB)/(360)`× 2πr

AB is 45 degrees

r (radius) = 14 cm

^^^Plug this into formula given above

`(45)/(360)` × 2π(14)

`(1)/(8)` × 28π

`(28\pi)/(8)`

`(7\pi)/(2)`

Method 2:

The formula for arc length is:

`(s)/(theta) =(r)/(1)`

s is the arc length

r is the radius

theta will be in radians

In this case:

s = unknown

r = 14 cm

theta = 45 degrees (converted to terms of pi: 45 ×
`(\pi )/(180)` --->
`(\pi )/(4)` )

^^^Plug this into formula given above

`(s)/((\pi )/(4)) =(14)/(1)`

Cross multiply

s * 1 =
`(\pi )/(4)` * 14

s =
`(\pi *14 )/(4)`

s =
`(14\pi )/(4)`

s =
`(7\pi )/(2)`

^^^This is your arc length

Hope this helped!

~Just a girl in love with Shawn Mendes