...

Document 1280142

by user

on
Category: Documents
1

views

Report

Comments

Transcript

Document 1280142
Name: _____________________________________________________________
Date: _________________________
Period: ______
Chapter 8: Intro to Trig
Topic 7a: Arc Length
FORMULA:
=
Where:
S=

r=
=
How do I know if it’s in radians already?
If it’s not, convert:  =  ⋅
Examples:

180
1. In a circle with a radius of 3 centimeters, what is the length, in centimeters, of an arc intercepted by a
central angle of 2 radians?
[1] 3
[2] 4
[3] 6
[4] 12
2.
Find the exact length of the arc created by the shaded region, from a central angle of
2
3
3. The protractor shown at the right has a radius of 2.5" and the angle AOB is measuring 450. What is
the length, x, along the outer edge to the nearest hundredth?

4. In a circle, a central angle of subtends an arc of 3 centimeters. Find the length of the radius of the
3
circle to the nearest tenth.
Name: _____________________________________________________________
Date: _________________________
8-7a Homework: Arc Length
All work is to be done in your notebook – not on this sheet
Period: ______
Find the exact value of each arc length: (remember… exact means no rounding, so stick with π)
1.
2.
Find the length of each arc to the nearest tenth: (use your π key at the very end to turn into a decimal)
3.
4.
5. Find, in centimeters, the length of an arc intercepted by a central angle of 4 radians in a circle with a
radius of 3.5 cm.
6. A sector has a radius of 12 cm. and an angle of 65º. To the nearest tenth of a cm., find its arc length.
7. A banner is made in the shape of a sector, shown below. Angle MOP measures 1 radian, and the radius of
the sector measures 10 feet. A blue rope piping is placed around the outside edge of this sector banner.
How many feet of rope piping is needed to outline the entire sector?
8. A wedge-shaped slice is cut from a circular pizza. The radius of the pizza is 8 inches and the rounded
edge of crust of the slice measures 6.4 inches. What is the angle of the pointed end of the pizza slice, in
radians to the nearest tenth?
Fly UP