Question

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

Answer 1

Answer:

Step-by-step 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:

$\frac{AB}{360}$× 2πr

AB is 45 degrees

r (radius) = 14 cm

^^^Plug this into formula given above

$\frac{45}{360}$ × 2π(14)

$\frac{1}{8}$ × 28π

$\frac{28\pi}{8}$

$\frac{7\pi}{2}$

Method 2:

The formula for arc length is:

$\frac{s}{theta} =\frac{r}{1}$

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 × $\frac{\pi }{180}$ --->  $\frac{\pi }{4}$ )

^^^Plug this into formula given above

$\frac{s}{\frac{\pi }{4}} =\frac{14}{1}$

Cross multiply

s * 1 = $\frac{\pi }{4}$ * 14

s = $\frac{\pi *14 }{4}$

s = $\frac{14\pi }{4}$

s = $\frac{7\pi }{2}$

^^^This is your arc length

Hope this helped!

~Just a girl in love with Shawn Mendes