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

Slides:

Advertisements

Similar presentations

Geometry Sector Area and Arc Length

Advertisements

Objective: find the area of geometric figures and shaded regions. What area formulas must be memorized?

7.7: Areas of Circles and Sectors

10.7 Areas of Circles and Sectors

Answers to homework problems – page 8

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.

6.8 Areas of Circles & Sectors p Thm 6.20 – Area of a Circle – A = r2 * Remember to square the radius 1st, then multiply by !

Geometry Warm ups AREAS OF CIRCLES AND SECTORS Objective: to find the areas of circles, sectors, and segments of circles.

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

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

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.

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.

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 of a Parallelogram

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.)

Warm - up Find the area of each figure. 1.A square with sides 12 in. 2.An equilateral triangle with sides 5 cm in 2 2.  10.8 cm 2.

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.

or * * P =22 in P =40 cm

Find the Area of the Square

Area Circumference Sectors

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

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.

Find the area of a circle with the given measure.

11.6 Areas of Circles, Sectors, and Segments

7-7 Areas of Circles and Sectors

Circumference, Arc Length, Area, and Area of Sectors

EOC REVIEW Question of the Day.

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

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°?

Area of Circles TeacherTwins©2014.

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.

9.4 Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then.

11.3 Sector Area and Arc Length (Part 1)

Concentric and Tangent Circles

11.2 Areas of Sectors and circles

ANSWERS WILL BE IN SQUARE UNITS

Sector Area and Arc Length

AREAS OF CIRCLES AND SECTORS

Q1 of 28 The radius of a sphere is 3 ft. Find the surface area and round to the nearest tenth.

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

11.2 Area of Circles and Sectors

Warm Up: Do at the beginning of 12.3 notes

1.7 Composite Figures Sept. 4!

ANSWERS WILL BE IN SQUARE UNITS

Finding Arc Lengths and Areas of Sectors

6.8 Areas of Circles & Sectors

L.T. 11.3: Find the area of sectors

6.8 Areas of Circles & Sectors

Areas of Plane Figures 11-6 Arc Lengths and Areas of 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

You can have decimal answers km 6.1cm 1.1cm 17km 6in 12km

Composite Figures A composite figure is formed from two or more figures. To find the area of a composite figure: Find the areas of each figure then add.

Learning Target #20 Arc Length and Sector Areas

Presentation transcript:

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

Area of 6.8 Circles & Sectors

The amount of space inside a circle. Area of a Circle The amount of space inside a circle. r A= πr2

Find the area. 53 cm 7.6 yd 181.5 square yards 2206.2 square cm A= πr2

Find the area of the shaded region. Example 2 Find the area of the shaded region. A = π22 A = π 82 A = π 4 A = π 64 2 in A = 12.57 in2 A = 201.06 in2 6 in A shaded = A – A= 201.06 - 12.57 = 188.49in2

Sector the region bounded by two radii of the circle and their intercepted arc.

Area of a Sector WHY?

How Do You Find the Area of a Circular Sector?

Find the area of the sector. Example 3 Find the area of the sector. R 6 cm 60 Q A = 18.85 cm2

Find the area of the sector. Example 4 Find the area of the sector. 6 cm 120 7 cm Q R A  51.31 cm2