Sector Area and Arc Length

Slides:



Advertisements
Similar presentations
Areas of Circles & Sectors. Thm 11.7 – Area of a Circle – A = r2 * Remember to square the radius 1st, then multiply by !
Advertisements

Areas of Circles and Sectors
Area of a Sector and Arc Length Geometry BowerPower.net Mr. Bower.
7.7: Areas of Circles and Sectors
Distance around the circle 2  r = C or d  = C.
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 !
10-7 Areas of Circles and Sectors Objective To find the areas of circles, sectors, and segments of circles.
Areas of Circles and Sectors 11.5 California State Standards 8: Solve problems involving perimeter and area. 19: Use trigonometric functions 21: Prove.
Warm up for Section 4.8.
Chapter 11.5 Notes: Areas of Circles and Sectors Goal: You will find the areas of circles and sectors.
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.
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.
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.
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.
LESSON Today: Assignment 11.3 Instruction 16 30° 20 Warm-up: Find the area. 160 u 2.
Area Circumference Sectors
10.5 Areas of Circles and Sectors
Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦
11.5 Areas of Circles and Sectors
10.7 Areas of Circles and Sectors
Area of Circles & Sectors.
11.6 Areas of Circles, Sectors, and Segments
7-7 Areas of Circles and Sectors
Section 11.3 Notes: Areas of Circles and Sectors
Circles Bingo Aim: Full House.
Circumference, Arc Length, Area, and Area of Sectors
Table of Contents 32. Circumference & Arc Length
Aim: How do we define radians and develop the formula
Notes 6-1: Radian Measure
Area of a Circular Sectors & Segments
6.7 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
16. Find the value of x. x○ 170○.
Areas of Circles and Sectors
Warm-Up A circle has a diameter of 10 in. What is the arc length in radians of a sector with 135°? What is the arc length in radians of a sector with 95°?
11-6: Arc Lengths and Areas of Sectors
Warm UP! Circle O has a radius of 20 feet. What is the length of arc KL? K 65o O L 20 ft.
11.3 Sector Area and Arc Length (Part 1)
SECTORS A sector is basically a “slice”.
Area of a Circular Segment
Area of a Circle Recall that when investigating the area of certain polygons, we based our new area formulas on shapes whose area we already knew. We’ll.
11.5 Areas of Circles and Sectors
AREAS OF CIRCLES AND SECTORS
11.1 Arc Length.
DRILL HANDOUT.
13.2A General Angles Alg. II.
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.
Central Angles & Their Measures
Bell Ringer 1. What is the proportion to determine arc length?
Warm Up: Do at the beginning of 12.3 notes
Warm Up #1 Find each measure. Give answers in terms of  and rounded to the nearest hundredth. 1. area of sector LQM 7.5 in2  in2.
Trigonometry - Intro Ms. Mougharbel.
Arc Length and Sector Area
Circumference and Arc Length. Circumference and Arc Length.
Circumference C = 2pr or pd. Circumference C = 2pr or pd.
6.8 Areas of Circles & Sectors
6.8 Areas of Circles & Sectors
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◦
11-3 Area of Circles and Sectors
Learning Target #20 Arc Length and Sector Areas
Arc and Sector Word Problem 1
Presentation transcript:

Sector Area and Arc Length

Area of a Circle – A = r2

Sector of a Circle The region bounded by 2 radii & their intercepted arc. Sector Also a sector Visually, it might remind you of a slice of pizza or a piece of pie.

Area of a Sector : Area of a full circle * the part of the circle your looking at

Ex1: Find the area of the small sector shown.

Ex. 2: Finding the area of a sector Find the area of the sector shown below. Sector CPD intercepts an arc whose measure is 80°. The radius is 4 ft. m A = • r2 360°

Ex3: L & M are 2 pts. on a circle R with r=50 cm & mLRM=150o Ex3: L & M are 2 pts. on a circle R with r=50 cm & mLRM=150o. Find the areas of the sectors formed by LRM. II R 50 cm L 150o M I

Arc Length What is the circumference of circle A ? What is the arc length of just BC?

Find the length of TBG

Assignment