133k views
4 votes
Determine the length of arc JL. A) 25/ 9 π B) 5 /13 π C) 25 /18 π D) 14 /17 π

User Lomza
by
8.2k points

1 Answer

6 votes

Answer:

Option C is the right choice where length of the arc is 25/18π.

Explanation:

Given:

Length of the radius of the circle,
r = 2 unit

Angle between the arc,
\theta = 125°

We have to find the arc length.

Let the arc length JL be "a" unit.

Formula to be used:

Arc length = (Circumference times angle ) / 360°

Using the above formula and plugging the values.

⇒ Arc length, JL, 'a' =
2\pi r* ((\theta)/(360))


a=2\pi r* ((\theta)/(360))


a=2\pi (2)* ((125)/(360))


a=4\pi * ((125)/(360))


a=(4\pi * 125)/(360)


a=(500\pi )/(360)


a=(50\pi )/(36)


a=(25\pi )/(18) ... reducing to lowest term.

So,

The length of the arc JL is 25/18π and option C is the right choice.

Determine the length of arc JL. A) 25/ 9 π B) 5 /13 π C) 25 /18 π D) 14 /17 π-example-1
User Gaurav Bharti
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories