Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we find arc length.

Slides:

Advertisements

Similar presentations

Warm-up Find the measures of angles 1 – 4.

Advertisements

Areas of Segments of Circles SWBAT: To find the areas of segments of circles.

10.7 Areas of Circles and Sectors

MM2G3 Students will understand properties of circles. MM2G3 c Use the properties of circles to solve problems involving the length of an arc and the area.

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.

6.7 Circumference & Area Notes. Circumference The distance around a circle. Do you remember the formula??? C = 2  r or C =  d * Always use the  button.

TODAY IN GEOMETRY…  Review: Arc Length  Learning Target : 11.5 You will find area of circles and sectors  Independent practice.

Warm Up 1. Find w, y, and z. Give the answers in simplest radical form.

Sector Area and Arc Length

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◦

Workbook pg. 231 #1-22 (skip 15 &19). Monday October 8 Daily Check: Chords.

Warm up for Section 4.8.

Entry Task. Learning Target: I can….. … work with the relationship between the dimensions of and the circumference and area of circles. (Sec. 10.6/10.7)

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.

Chapter 10: Area 10.7 Areas of Circles & Sectors.

Daily Check 40° 5 m A B 1. Find the length of 2. Find the area of the sector formed by the smaller angle. 120° Z 16 mm Y X.

Warm up. 2 Types of Answers Rounded Type the Pi button on your calculator Toggle your answer Do NOT write Pi in your answer Exact Pi will be in your.

Are diameters. Find the indicated measures. 1) 2) 3) 4)

Geometry Warm ups AREAS OF CIRCLES AND SECTORS (DAY 2) Objective: To find the areas of circles, sectors, and segments of circles.

7-2 Sectors of Circles Objective: To find the arc length of a sector of a circle and to solve problems involving apparent size.

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.)

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.

Perimeter and Area of Circles and Sectors I CAN -Find the circumference and area of a circle -Find the arc length of a sector -Find the area of a sector.

Sections Perimeter and Area with Circles.

Section 11-3 Sector Area and Arc Length. The area of a sector is a fraction of the circle containing the sector. To find the area of a sector whose central.

Objectives Find the area of sectors. Find arc lengths.

Do Now Agenda Homework Handout (10 problems)  Do Do Now!

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

Objectives Find the area of sectors. Find arc lengths.

Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦

Area of Circles & Sectors.

Sector Area and Arc Length

Sector Area and Arc Length

Circumference, Arc Length, Area, and Area of Sectors

EOC REVIEW Question of the Day.

2 Types of Answers Exact Rounded Use the Pi button on your calculator

Circumference, Arc Length, Area, and Area of Sectors

Arc Length Sector Area.

16. Find the value of x. x○ 170○.

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°?

Unit 4A Bingo Review Topics: Circumference/Arc Length (4.1), Area/Area of Sector/Area of Segment(4.2), Similar Circles/Proportions (4.3), and Central/Inscribed.

12.3 Sector Area and Arc Length

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?.

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 2. Find the area.

Exact Area and Circumference of Circles

ANSWERS WILL BE IN SQUARE UNITS

Objectives Find the area of sectors. Find arc lengths.

12.3 Sector Area and Arc Length

Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦

Warm UP! Circle O has a radius of 20 feet. What is the length of arc KL? K 65o O L 20 ft.

Sector Area and Arc Length

Questions over hw?.

Questions over hw?.

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.

ANSWERS WILL BE IN SQUARE UNITS

Sector Area and Arc Length

Sec Circumference and Arc Length p.649

Objectives Find arc lengths..

To Start: 12 Points Find the following for a circle with radius 5 cm. Leave your answer in terms of π! Diameter = ________ Circumference = ________ Area.

Sector Area and Arc Length

L.T. 11.3: Find the area of sectors

EOCT REVIEW #2 Circles – Angles, Arcs, Area of a Circle, Area of a Sector, Circumference, Arc Length, & Segments.

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◦

Circle Review Bingo The solutions are linked. Click on the answer on the next slide and it will jump you to the slide that is the question to the solution.

Presentation transcript:

Math II UNIT QUESTION: What special properties are found with the parts of a circle? Standard: MM2G1, MM2G2 Today’s Question: How do we find arc length and area of sectors using proportions? Standard: MM2G3.c

A =  r 2 ANSWERS WILL BE IN SQUARE UNITS 6.8

Find the area.

If  S has a circumference of 10  inches, find the area of the circle to the nearest hundredth. C = 2  r 10  = 2  r 5 = r A =  r 2 A =  5 2 A =  25 A =  in 2

SECTOR: R O Q

60° 120 ° 6 cm 7 cm Q R Q R

Find the area of the shaded region. 60  or  in 2 6in 2 in A =  2 2 A =  8 2 A =  4 A =  in 2 A =  64 A =  in 2 A shaded = A – A= =

SEGMENT

12 yd R Q

Class Work Day 1: Textbook p. 232 #10-19, 24

Homework Day 1: Workbook p. 242 #8-14

Class Work Day 2: Textbook p. 234 #10-15, 23, 26

Homework Day 2: Textbook p. 244 #20-22, 24