41.5k views
15 votes
Find the length of each arc shown in red. Leave your answer in terms of pi. 110 4in

Find the length of each arc shown in red. Leave your answer in terms of pi. 110 4in-example-1
User Alex Fire
by
3.6k points

2 Answers

9 votes

The length of the arc shown in red is

Step-by-step explanation:

step 1

Find the circumference of the circle The circumference is equal to we have substitute

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 Simplify

User Milan Shukla
by
3.3k points
12 votes

The length of the arc in terms π is (2.44π)in

An arc is a cut out part of a circumference of a circle. The circumference of circle is the outer body of the circle.

The length of an arc is calculated as by multiplying the ratio of the angle substended by the arc and 360 with circumference of a circle.

l = x/360 × 2πr

where x is the angle substended

l = 110/360 × 2 × π × 4

l = 880π/360

l = 2.44π

Therefore, the length of the arc is 2.44π

User Paul Nispel
by
3.7k points