1 Answer

Vignesh Babu M D · Answer 1 · 2020-12-08T07:45:14+0000

Answer:

The length of the arc shown in red is
$(22)/(9)\pi\ in$

Explanation:

step 1

Find the circumference of the circle

The circumference is equal to

$C=2\pi r$

we have

$r=4\ in$

substitute

$C=2\pi (4)$

$C=8\pi\ in$

step 2

Find the length of the arc in red

Remember that the length of the circumference subtends a central angle of 360 degrees

so

by proportion find the length of the arc by a central angle of 110 degrees

$(8\pi)/(360)=(x)/(110)\\ \\x=8\pi*110/360\\ \\x=(880)/(360)\pi\ in$

Simplify

$(880)/(360)\pi=(22)/(9)\pi\ in$

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