Chapter 10: Area 10.7 Areas of Circles & Sectors.

Slides:



Advertisements
Similar presentations
Section 7-7 Circles and Sectors SPI 32L: determine the area of indicated regions involving circles SPI 33B: find the area of a sector of a circle given.
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
10.7 Areas of Circles and Sectors
Section 7 –7 Areas of Circles & SEctors
CIRCLES.
Area of Circles and Sectors Lesson 7.4A M.3.G.1 Calculate probabilities arising in geometric contexts (Ex. Find the probability of hitting a particular.
Circumferences and Areas of Circles COURSE 3 LESSON 8-8 The diameter of a small pizza is 24 cm. Find its area. Round to the nearest tenth. A = r 2 Use.
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.
CIRCUMFERENCE: or If you unwrap a circle, how long will the line be?
A circle is a closed curve in a plane. All of its points are an equal distance from its center.
Chapter Circle  A set of all points equidistant from the center.
Geometry Warm ups AREAS OF CIRCLES AND SECTORS Objective: to find the areas of circles, sectors, and segments of circles.
You will find the areas of circles and composite figures as well as find areas of sectors.
11.5 Area of Circles and Sectors. Theorem The equation for the Area of a Circle Area equals radius squared times pi.
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.
Section 7-7: Circles: Area of circles, sectors, and segments April 10, 2012.
11.5 – Areas of Circles and Sectors. Area of a Circle: A=  r 2.
10-7 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.)
+ Circles and Arcs Objective: To find the measure of central angles and arcs. To find circumference and arc length.
Ch 11.6 What is the area of a square with an apothem length of 14 in? Round to the nearest tenth if necessary. What is the area of a regular hexagon with.
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 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:
Section 8.6.  If you cut a slice of pizza, each slide would probably be a sector of a circle. The sector is the region between two radii and an arc of.
10.7 Area of Circles and Sectors Brett Solberg AHS ‘11-’12.
Chapter 4: Circular Functions Review for Lessons 1 & 2 Mrs. Parziale.
SPI I CAN identify parts of a circle. I CAN find the circumference and area of a circle.
Geometry Honors Section 5.3 Circumference and Area of Circles
Chapter 11: Surface Area & Volume 11.6 Surface Area & Volume of Spheres.
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.
Chapter 7 Lesson 7 Objective: To find the areas of circles, sectors, and segments of circles.
Objectives: 1)To find the areas of circles, sectors, and segments of circles.
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.
Area Circumference Sectors
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.
10.6 and 10.7 Circles and Sectors. Words… Circle: the set of all points equidistant from a given point called the center (name a circle by its center)
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.
Recall Area of a Circle A = r2
10.7 Areas of Circles and Sectors – Areas of Circles & Sectors Goals / “I can….” Find the areas of circles, sectors, and segments of circles.
How to find the areas of circles, sectors, and segments of circles. Chapter 10.7GeometryStandard/Goal 2.2.
Entry Task: On a piece of paper that you will turn in, look over chapter 10 and write down 3 topics you would like to review in class tomorrow.
10.6/10.7 Circles, Arcs, Segments, and Sectors
Area Circumference Sectors
Area of a circle.
Area of Circles Chapter 7B.
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
11.3 Areas of Circles and Sectors
2 Types of Answers Exact Rounded Use the Pi button on your calculator
Warm UP! Circle O has a radius of 20 feet. What is the length of arc KL? K 65o O L 20 ft.
ANSWERS WILL BE IN SQUARE UNITS
Warm up: Solve for x 1.) 2.) 4.) 3.) 124◦ 70◦ x 18◦ x 260◦ x 20◦ 110◦
ANSWERS WILL BE IN SQUARE UNITS
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.
Areas of Plane Figures 11-6 Arc Lengths and Areas of Sectors
Learning Target #20 Arc Length and Sector Areas
Presentation transcript:

Chapter 10: Area 10.7 Areas of Circles & Sectors

Theorem Area of a Circle – The area of a circle is the product of π and the square of the radius.

Example 1 How much more pizza is in a 12-inch diameter pizze than in a 10-inch pizza?

Sector of a Circle Region bounded by an arc of the circle and the two radii to the arc’s endpoints Named using one endpoint of the arc, the center of the circle, and the other endpoint of the arc Area of a sector is a fractional part of the circle

Theorem Area of a Sector of a Circle – The area of a sector of a circle is the product of the ratio (measure of the arc/360) and the area of the circle.

Example 2 Find the area of sector ZOM. Leave your answer in terms of π.

Example 2a A circle has a diameter of 20 cm. What is the area of a sector bounded by a 208° major arc? Round your answer to the nearest tenth.

Segment of a Circle

Example 3 Find the area of the shaded segment. Round your answer to the nearest tenth.

Example 3a A circle has a radius of 12 cm. Find the area of the smaller segment of the circle determined by a 60° arc. Round your answer to the nearest tenth.

Homework P , 4, 10, 12, 18, 24, 26, 35