Question

In a circle with a diameter of 25.2 ft, an arc is intercepted by a central angle of 168º.

Answer 1

Answer:

$36.93\ ft$

Step-by-step explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=\pi D$

we have

$D=25.2\ ft$

substitute

$C=25.2\pi\ ft$

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the arc length by a central angle of 168 degrees

$\frac{25.2\pi}{360}=\frac{x}{168}\\\\x=25.2\pi*168/360\\\\x=(25.2*3.14)*168/360\\\\x=36.93\ ft$