DO NOW-Opportunity to get 5 points on test

Slides:

Advertisements

Similar presentations

Objective: Convert between degrees and radians. Draw angles in standard form. Warm up Fill in the blanks. An angle is formed by two_____________ that have.

Advertisements

Radian Measure A central angle has a measure of 1 radian if it is subtended by an arc whose length is equal to the radius of the circle. Consider the circle.

Introduction to Radians (Definition, Converting Between Radians and Degrees, & When to use Degrees or Radians)

7.2 Radian Measure.

AGENDA: DG minutes10 minutes Notes Lesson 2 Unit 5 DG 17 Mon.

Converting between Degrees and Radians: Radian: the measure of an angle that, when drawn as a central angle of a circle, would intercept an arc whose.

13-3: Radian Measure Radian Measure There are 360º in a circle The circumference of a circle = 2r. So if the radius of a circle were 1, then there a.

7.2 Central Angle & Arc Length. Arc Length  is the radian measure of the central angle s & r have same linear units r r s = Arc length  radians (not.

Section 5.2 – Central Angles and Arcs Objective To find the length of an arc, given the central angle Glossary Terms Arc – a part of a circle Central angle.

Copyright © 2011 Pearson Education, Inc. Radian Measure, Arc Length, and Area Section 1.2 Angles and the Trigonometric Functions.

Objective: Properties of angles and central angles. Warm up 1. On a number line, A is at -2 and B is at 4. What is the location of point C between A and.

Warm-Up Find the following. 1.) sin 30 ◦ 2.) cos 270 ◦ 3.) cos 135 ◦

Trigonometry #3 Radian Measures. Converting Degrees to Radians Angle measure In degrees.

Aim: How do we define radians and develop the formula Do Now: 1. The radius of a circle is 1. Find, in terms of the circumference. 2. What units do we.

RADIANS Radians, like degrees, are a way of measuring angles.

And because we are dealing with the unit circle here, we can say that for this special case, Remember:

Arc Length Start with the formula for radian measure … … and multiply both sides by r to get … Arc length = radius times angle measure in radians.

Unit 1 – Degrees Decimals and Degrees, Minutes, Seconds (DMS) Conversions, and Unit Conversions -You will be able to convert from degrees decimals to degrees,

6.1 Angles and Radian Measure Objective: Change from radian to degree measure and vice versa. Find the length of an arc given the measure of the central.

Angles Arc Length Sector Area Section 4.1. Objectives I can find co-terminal angles I can convert between radian and degree measures I can calculate arc.

Warm – up #2 1. Find 2 (+) and 2 (–) angles that are coterminal to 120 o. What quadrant is it in? 120 o + 1(360 o ) = 120 o + 2(360 o ) = 120 o + (–1)(360.

EQ: How do you convert from degrees to radians and from radians to degrees? Demonstrated in writing in performance task (Unit 5 Task 2). WARM UP Create.

Section 7-2 Sectors of Circles SAS. Definition A sector of a circle is the region bounded by a central angle and the intercepted arc.

BELL RINGER 60 o 2 in. 4 in. Find the arc length and area of the sector of the circles: What effect does doubling the radius have on the arc length.

MATHPOWER TM 12, WESTERN EDITION Chapter 4 Trigonometric Functions 4.1.

Section 7.1 Angles and Their Measure Copyright © 2013 Pearson Education, Inc. All rights reserved.

A little more practice You’ve got this! High five!

Drawing Angles in Standard Position

Grade Homework HW 13.2A Answers.

October 9, 2012 What is a radian?

Arcs, Sectors & Segments

11.6 Areas of Circles, Sectors, and Segments

Aim: How do we define radians and develop the formula

This part of the unit is really about equivalence:

Do Now Find the value of each expression. Sin 60 ° Cos 30 ° Tan 270 °

1.2 Radian Measure, Arc Length, and Area

Sectors of Circles 7.2.

Examples Radians & Degrees (part 2)

Copyright © 2017, 2013, 2009 Pearson Education, Inc.

Radians & Arc Lengths Section 5.2.

Arc length and area of a sector.

Chapter 4 Trigonometric Functions

4.1 Radian and Degree measure

11–8A – Define Radian Measure

6.1 Radian and Degree Measure

Dividing Fractions To divide fractions,

16.2 Arc Length and Radian Measure

M3U7D1 Warm Up 180o-135o = 45o Center: (0, 4); Radius: 7

Measuring Angles in Radians

Trig Functions and Acute Angles

Section 4.1: Angles and Their Measures

Angles and Their Measures

47.75⁰ Convert to radians: 230⁰.

6.1 Angles and Radian Measure

11.1 Vocabulary Circumference PI () Arc Length Radian.

4.1 Equations of circles Arcs, Inscribed Angles, Central Angles

Central Angles & Their Measures

4.1 Radian and Degree measure

6.1 Angles and Their Measure

Trigonometry - Intro Ms. Mougharbel.

Angles and Their Measure

( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , ) ( , )

EQ: Are there other ways to describe the location of a point in the plane other than by giving its x- and y- coordinates?

Unit 4: Circles and Volume

What is similar between all of these?

Adapted from Walch Education

11.1 Vocabulary Circumference PI () Arc Length Radian.

EQ: How do you convert angle measures in

Angles and Their Measure

Presentation transcript:

DO NOW-Opportunity to get 5 points on test

A circle has a radius of 7 and a central angle of 2 radians A circle has a radius of 7 and a central angle of 2 radians. What is the arc length? A circle has a radius of 3.6 and a central angle of 63.8 degrees. What does the arc length equals? A circle has an arc length of 5.9 and a central angle of 1.67 radians. What is the radius?

Classwork An angle has an arc length of 2 and a radius of 2. What is the central angle? A circle’s arc length is 6.2 with a central angle of 350 degrees. What is the radius? A circle has a radius of 20 and a central angle of 7 radians. What is the arc length?

Homework An angle has an arc length of 5 and a radius of 3. What is the central angle? A circle’s arc length is 23 with a central angle of 2.31 degrees. What is the radius? A circle has a radius of 8 and a central angle of 5 radians. What is the arc length?

YOUR TURN! Work on the front of the worksheet for classwork and the back of the worksheet is due tomorrow.