What is the arc length if the central angle is 225 degrees and the radius of a circle is 3 cm?
pls help. i don"t get it

1. 👍
2. 👎
3. 👁
1. Arc length = rθ ...(1)

To convert 225° to radians, multiply by (π/180) to get 225π/180=5π/4

Use formula (1) to calculate arc length, which should be in the same units as the radius.

1. 👍
2. 👎
2. 2*225*pie/360*3

1. 👍
2. 👎

## Similar Questions

1. ### Trigonometry

If the central angle is 4pi/3 radians, what should the radius of a circle be to make the arc length 1 m? a) 0.424 m b) 0.238 m c) 2.356 m d) 4.188 m I think it is c)... is that correct?

2. ### Math

Find the radius of the circle if an arc of length 5 ft on the circle subtends a central angle of 135°. (Round your answer to two decimal places.)

3. ### trig

in a circle of radius 26, find the length of the arc spanned by a central angle of pi/4 radians. round your answer to 2 decimal places. use 3.1416 as an approx for pi.

4. ### Trig

Find the length of a chord intercepted by a central angle of 25 degrees in a circle of radius 30 feet

a) Determine the measure of the central angle that is formed by an arc length of 5 cm in a circle with a radius of 2.5cm. Express the measure in both radians and degrees, correct to one decimal place. b) Determine the arc length

2. ### pre calcalus

a circle with 4 inch radius, find length of arc when intercepted by central angle of 240 degrees

3. ### geometry

Circle O has a radius of 8 m and the measure of central angle AOB is 45 degrees. Which of the following could be used to calculate the length of arc AB?

4. ### apex geometry

Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true? A. The arc length of the smaller circle is proportional to the radius of the

1. ### geometry

The radius of a circle is 6cm and the arc measurement is 120 degrees, what is the length of the chord connecting the radii of the arc?

2. ### Trig

Find the radian measure of the central angle of a circle of radius r that intercepts an arc of length s.? Radius, r=16 ft Arc length, s=10 ft

3. ### Math help me quicckly

An arc of length 30 meters is formed by a central angle A on a circle of radius 15. The measure of A in degrees (to two decimal places) is (Points : 5) 0.50 28.65 114.59 0.01

4. ### Physics

When a wheel is rotated through an angle of 35 degrees, a point on the circumference travels through an arc length of 2.5 m. When the wheel is rotated through angles of 35 rad and 35 rev, the same point travels through arc lengths