Download presentation

Presentation is loading. Please wait.

Published byLeanna Staples Modified over 3 years ago

1
What professionals might use radians? Any engineer or scientist who deals with electricity, someone who works with electronic music, automotive engineers, electronic circuit designers, and my favorite, mathematicians.

2
Locate the center of a circle by balancing the circle on the tip of a pencil. Mark the length of the radius of the circle on an index card. Cut the card the length of the radius Create a radius wedge (a pie-shaped piece formed by two radii and an arc length of 1 radius) Measure the angle in degrees. 1 radian is approximately _______ degrees. Continue marking full radians around the circle. Approximately how many radians are there in a full circle? _______ How many in a half circle? _______ The formula for the circumference of a circle is _____________. The radius of our circle is one, so the number of radians in a 360˚ circle is _________. The number of radians in a semicircle (180˚) is _____________. The number of radians in a quarter circle is (90˚) is ______________. The number of radians in an eighth circle is (45˚) is ______________. So What is a Radian, Really?

3
Radian A more convenient method for measuring angles (instead of degrees) in upper level mathematical applications. The radian measure of an angle in standard position is defined as the length of the corresponding arc on the unit circle. The measure of is “s” radians.

4
Convert 48.555º to degrees, minutes, seconds: Type 48.555 ► DMS Answer: 48º 33' 18'' The ► DMS is #4 on the Angle menu (2nd APPS). This function works even if Mode is set to Radian. FYI (On the Calculator):

5
Degrees to radians: multiply by π /180 Radians to degrees: multiply by 180/ π It will be helpful to memorize these common angle measures and their equivalent radian measures:

6
60 ° 1 - 1/2 Remember “The Chart” 240˚ is in Quadrant III, so the sign is... All Students Take Calculus... negative

9
Sector – the region bounded by a central angle and its intercepted arc

10
Example 6

11
HW: Page 348

Similar presentations

OK

Pre-Calculus Honors Pre-Calculus 4.1: Radian and Degree Measure HW: p.261-262 (14, 22, 32, 36, 42)

Pre-Calculus Honors Pre-Calculus 4.1: Radian and Degree Measure HW: p.261-262 (14, 22, 32, 36, 42)

© 2018 SlidePlayer.com Inc.

All rights reserved.

Ads by Google

Ppt on asymptotic notation of algorithms pdf Ppt on job evaluation Ppt on village life in hindi Ppt on anticancer therapy Ppt on acid-base titration lab answers Ppt on advanced power electronics Ppt on death penalty in india Ppt on solar energy system Ppt on polluted ganga river Vlsi physical design ppt on high level synthesis