ANSWERS WILL BE IN SQUARE UNITS

Slides:

Advertisements

Similar presentations

Geometry Sector Area and Arc Length

Advertisements

Areas of Circles, Sectors and Segments Lesson 11.6

L.E.Q. How do you find the areas of circles, sectors, and segments of circles?

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

7.7: Areas of Circles and Sectors

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

10.7 Areas of Circles and Sectors

Answers to homework problems – page 8

Geometric Probability Sector – A region of a circle bounded by an arc of the circle and the two radii to the arc’s endpoints. Two important quantities.

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.

10-7 Areas of Circles and Sectors Objective: To find the areas of circles, sectors and segments of circles.

Sector Area and Arc Length

You will find the areas of circles and composite figures as well as find areas of sectors.

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

Vocabulary: SECTOR of a circle: a region bounded by an arc of the circle and the two radii to the arc’s endpoints SEGMENT of a circle: a part of a circle.

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

Shaded Area/ Word Problems

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.

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.

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.

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.

Holt McDougal Geometry 11-3 Sector Area and Arc Length Toolbox Pg. 767 (12-20; 33 why 4 )

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.

Sector Area and Arc Length

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

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

Sector Area and Arc Length

Sector Area and Arc Length

Warm Up 1. Find w, y, and z. Give the answers in simplest radical form. Find each measure. 2. RT 3. UQ.

Circumference, Arc Length, Area, and Area of Sectors

Circle Properties Circle Properties Major Segment Chord Minor Segment

EOC REVIEW Question of the Day.

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

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.

11.2 Vocabulary Population Density Sector of a Circle

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

12.3 Sector Area and Arc Length

Objectives Find the area of sectors..

11.6 Areas of Circles, Sectors and Segments

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.

A segment of a circle is a region bounded by an arc and its chord.

Area and Perimeter Ten quick questions.

11.2 Vocabulary Population Density Sector of a Circle.

Sec Circumference and Arc Length p.649

Objectives Find arc lengths..

Copyright © Cengage Learning. All rights reserved.

Parallelograms, Triangles, Rhombuses Rectangles & Trapezoids Regular

Sector Area and Arc Length

L.T. 11.3: Find the area of sectors

Areas of Circles, Sectors and Segments Lesson 11.6

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:

ANSWERS WILL BE IN SQUARE UNITS 6.8 Area of a circle A = p r2 ANSWERS WILL BE IN SQUARE UNITS

Find the area. 10 in 7.6 cm 181.5 square cm or 57.76p sq.cm 78.54 square in or 25p sq. in.

A = pr2 C = 2pr A = p 52 10p = 2pr A = 25p or 5 = r A = 78.54 in2 If S has a circumference of 10p inches, find the area of the circle to the nearest hundredth. A = pr2 C = 2pr A = p 52 10p = 2pr A = 25p or 5 = r A = 78.54 in2

SECTOR: R Q O

R 6 cm 60° Q R 7 cm Q 120 °

Area of a segment: a segment is a region bound by a chord and its corresponding arc. The area of a segment is equal to the area of the sector - the area of the triangle. X Y Z

R Q 12 yd

Given arc XY is 90º and ZX = 8 Find the shaded area. X Z Y Segment = sector – triangle = 90π(82) – ½(8)(8) 360 = 16π – 32 units2 X Y Z

Find the area of the shaded region. A = p22 A = p82 A = p4 A = p64 2 in A = 12.57 in2 A = 201.06 in2 6in A shaded = A – A= 201.06 - 12.57 = 60p or 188.49in2