11.3 Sector Area and Arc Length (Part 1)

Slides:



Advertisements
Similar presentations
Area of a Sector and Arc Length Geometry BowerPower.net Mr. Bower.
Advertisements

Geometry 11.4 Circumference and Arc Length. July 2, 2015Geometry 11.4 Circumference and Arc Length2 Goals  Find the circumference of a circle.  Find.
Circumference & Arc Length. Circumference The distance around a circle C = 2r or d.
7.7: Areas of Circles and Sectors
CIRCLES.
Distance around the circle 2  r = C or d  = C.
105  32   16  36.5  105  Warm-up Find the measures of angles 1 – 4.
Q1 of 36 Solve for x. Round to the nearest hundredths.  20 x 16.
11.6 Arc Lengths and Areas of Sectors
CIRCUMFERENCE: or If you unwrap a circle, how long will the line be?
6.8 Areas of Circles & Sectors p Thm 6.20 – Area of a Circle – A = r2 * Remember to square the radius 1st, then multiply by !
A circle is a closed curve in a plane. All of its points are an equal distance from its center.
Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)
Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦
Warm up for Section 4.8.
Note 2: Perimeter The perimeter is the distance around the outside of a shape. Start at one corner and work around the shape calculating any missing sides.
Bellwork: What is the formula for a) the circumference of a circle and b) the area of a circle? What is the area of a circle with circumference 18.
Section 11-5 Areas of Circles and Sectors. Area of a Circle The area of a circle is times the square of the radius. Formula:
Sectors of a Circle Acc. Alg/Geo. A Spring Area of a Circle The amount of space inside a circle. r A=  r 2.
Arc Length & Area of a Sector (3.2) JMerrill, 2009.
Arc Length and Sector Area. How do we get the fraction in these formulas? How many degrees are in a circle? Fraction = (central angle/360)
Geometry Honors Section 5.3 Circumference and Area of Circles
7.2 – Sectors of Circles Essential Question: How do you find the radius of a sector given its’ area and arc length?
11.5 Sectors and Arc Lengths
7-2 Sectors of Circles Objective: To find the arc length of a sector of a circle and to solve problems involving apparent size.
Area Circumference Sectors
Circles…… Area and Circumference The Circumference of a Circle Find the circumference of the following circles. C =  d C = 2  r 8 cm cm 2 C =
Warm-Up 1.Find the circumference of a circle with a diameter of 10ft. Round your answer to the nearest tenth. 2.Find the circumference of  A if the radius.
Warm up: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)
Geometry Honors Section 5.3 Circumference and Area of Circles.
Chapter 4-2: Lengths of Arcs and Areas of Sectors.
Circumference The distance around a circle or Find the circumference to the nearest tenth
Sector of a Circle Section  If a circle has a radius of 2 inches, then what is its circumference?  What is the length of the arc 172 o around.
Perimeter and Area with Circles. Circumference of a Circle Circumference is the perimeter of the circle Formula: or (for exact answers, leave π in your.
Sections Perimeter and Area with Circles.
10-7 Area of Circles and Sectors. REVIEW Circumference: The total distance (in length) around a circle. Arc measure: The measure of the central angle.
Arcs, Sectors & Segments
Circumference, Arc Length, Area, and Area of Sectors
Aim: How do we define radians and develop the formula
Section 11.4 Circumference and Arc Length
11.6 Arc Lengths and Areas of Sectors
11.3 Areas of Circles and Sectors
2 Types of Answers Exact Rounded Use the Pi button on your calculator
Circumference, Arc Length, Area, and Area of Sectors
Examples Radians & Degrees (part 2)
16. Find the value of x. x○ 170○.
Warm UP! Circle O has a radius of 20 feet. What is the length of arc KL? K 65o O L 20 ft.
11.4 Circumference and Arc Length
16.2 Arc Length and Radian Measure
Arc Length and Sector Area
Sector Area and Arc Length
Circumference and Arc Length
AREAS OF CIRCLES AND SECTORS
9-2 and 11-3: Perimeter and Area of Circles and Sectors
Arc Lengths and Areas of Sectors
11.4 Circumference and Arc Length
5.7 Circumference and Arc Length
Q1 of 28 The radius of a sphere is 3 ft. Find the surface area and round to the nearest tenth.
Warm up A pizza shop sells pizza by the slice. They make two different sizes of pizza – a 14-inch pizza which they cut into 60-degree slices and a 16-inch.
14 inch 7 inch Which one contains more calories? a)They both contain the same amount b)Half the 14 inch pizza has more c)The full 7 inch pizza contains.
Warm UP! Circle O has a radius of 20 feet. What is the length of arc KL? K 65o O L 20 ft.
Questions over hw?.
Questions over hw?.
Central Angles and Arc Length
Warm Up: Do at the beginning of 12.3 notes
Trigonometry - Intro Ms. Mougharbel.
Finding Arc Lengths and Areas of Sectors
Essential Questions: Standards:
Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦
Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦
Presentation transcript:

11.3 Sector Area and Arc Length (Part 1) Geometry

Reminder: Circumference Circumference is the distance around a circle (Perimeter) C=2лr or C=лd

Reminder: Measuring An Angle We measure an arc in degrees We can find the length of an arc in linear units as well (meters, feet, inches, etc.) Arc Length Formula arc length 2𝜋𝑟 = 𝑛 360

Note: mAB = the degree measure of the arc Length of AB= how long it is in cm, in, ft., etc.

Examples

11.3 Sector Area and Arc Length (Part 2) Geometry

Reminder: Area Area of a circle A = 𝜋 𝑟 2

Sector of a Circle Sector – region bounded by two radii and their intercepted arc Piece of pizza

Area of A Sector To find the area of a sector of a circle (area of a piece of pizza) area of sector 𝜋 𝑟 2 = 𝑛 360

Examples