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Areas of Circles & Sectors
Thm 11.7 – Area of a Circle – A = r2 * Remember to square the radius 1st, then multiply by !
Ex: Find the area of circle C. A = r2 A = (3)2 A = 9 cm2 OR 28.27 cm2 C 3 cm
Ex: Find the diameter of circle C if the area is 16 ft2. A = r2 16 = r2 16 = r2 ð16 = r 4 ft = r So, d = 8 ft.
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.
Thm 10-12 – Area of a Sector –
Ex: Find the area of the small sector shown. 135o 1 1 m
Ex: L & M are 2 pts. on a circle R with r=50 cm & mLRM=150o. Find the areas of the sectors formed by LRM. 150o I II L M R 5 0 c m
Ex: Find the area of the shaded region. 4 c m r 2 4 c m 30o 2 2ð3 4ð3 (4) 2 16 16 - 12ð3 = 29.5 cm2
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 !
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:
Chapter 11.5 Notes: Areas of Circles and Sectors Goal: You will find the areas of circles and sectors.
11.5 Sectors and Arc Lengths Learning Objective: To find lengths of arcs and areas of sectors. Warm-up (IN)
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.
Areas of Circles and Sectors 11.5 California State Standards 8: Solve problems involving perimeter and area. 19: Use trigonometric functions 21: Prove.
Sectors of a Circle Acc. Alg/Geo. A Spring Area of a Circle The amount of space inside a circle. r A= r 2.
Area of a Sector and Arc Length Geometry BowerPower.net Mr. Bower.
7.7: Areas of Circles and Sectors
Chapter 10: Area 10.7 Areas of Circles & Sectors.
10-7 Areas of Circles and Sectors 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.
Areas of Circles and Sectors
Warm up for Section 4.8.
105 32 16 36.5 105 Warm-up Find the measures of angles 1 – 4.
Area of a Circular Segment Objectives: Review Area of Circles & Sectors Find the Area of a Circular Segment Anthony E. Davis Summer 2003.
10.7 Areas of Circles and Sectors – Areas of Circles & Sectors Goals / “I can….” Find the areas of circles, sectors, and segments of circles.
Circumferences & Areas of Circles. Circle information Defn: Points on a plane that are equidistant from a given point (CENTER). Radius: From center to.
Homework Answers P. 570 P 28. 6 4. /9
L.E.Q. How do you find the areas of circles, sectors, and segments of circles?
12.6 Surface Area & Volume of Spheres
8-2 FORMULAS Area Circumference Sectors. REVIEW: RADIUS AND DIAMETER The RADIUS is the measure of any radius. Radius is usually abbreviated as. The DIAMETER.
Accelerated Math 2. Two minor arcs are congruent if and only if their corresponding chords are congruent.
Geometry Warm ups AREAS OF CIRCLES AND SECTORS Objective: to find the areas of circles, sectors, and segments of circles.
10.7 Areas of Circles and Sectors
Distance around the circle 2 r = C or d = C.
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.
CIRCUMFERENCE: or If you unwrap a circle, how long will the line be?
You will find the areas of circles and composite figures as well as find areas of sectors.
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.
7.2 – Sectors of Circles Essential Question: How do you find the radius of a sector given its’ area and arc length?
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.
Section 7-2 Sectors of Circles SAS. Definition A sector of a circle is the region bounded by a central angle and the intercepted arc.
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.
1. A circle graph has a section marked “Potatoes: 28%.”
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.
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: Solve for x 18 ◦ 1.) x 124 ◦ 70 ◦ x 2.) 3.) x 260 ◦ 20 ◦ 110 ◦ x 4.)
11.5 Areas of Circles and Sectors Geometry Ms. Reser.
Areas of Circles, Sectors and Segments Lesson 11.6
Chapter 7 Lesson 7 Objective: To find the areas of circles, sectors, and segments of circles.
Arc Length & Area of a Sector (3.2) JMerrill, 2009.
Objectives: 1)To find the areas of circles, sectors, and segments of circles.
Section 7 –7 Areas of Circles & SEctors
AREA AND CIRCUMFERENCE OF A CIRCLE. diameter radius circumference The perimeter of a circle is called the circumference (C). The diameter (d) of a circle.
Any Way you Slice it Shaded regions of circles and other polygons.
Topic 11-3 Circles and Sectors Objectives: Find the areas of circles, sectors, and segments of circles Recall Area of a Circle A = r 2.
Answers to homework problems – page 8
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