Splash Screen. Example 2 Use Area of Circles to Solve Problems PICTURE FRAMES The rectangular matting for a picture frame has a circular cutout for the.

Slides:

Advertisements

Similar presentations

Over Lesson 12–2 A.A B.B C.C D.D 5-Minute Check 1 A cubic inch of water weighs pound. A 10- gallon fish tank measures 20 inches by 10 inches by 12.

Advertisements

Areas of Circles and Sectors

L.O. Students will be able to calculate the area of a sector of a circle, by working in small groups and completing an investigation. Standards: 6.G.8.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–2) CCSS Then/Now New Vocabulary Key Concept: Area of a Circle Example 1:Real-World Example:

Introduction A sector is the portion of a circle bounded by two radii and their intercepted arc. Previously, we thought of arc length as a fraction of.

Deriving the Formula for the Area of a Sector

Radian Measure Angles can be measured 3 ways: 1) Degrees (360 parts to a rotation) 1) Degrees (360 parts to a rotation) used for triangle applications.

EXAMPLE 1 Find the perimeter and area of a rectangle SOLUTION Basketball Find the perimeter and area of the rectangular basketball court shown. PerimeterArea.

Area of a Circular Segment Objectives: Review Area of Circles & Sectors Find the Area of a Circular Segment Anthony E. Davis Summer 2003.

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.

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.

10.7 Areas of Circles and Sectors

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.

Parallel-ograms & Trapezoids Rectangles & Triangles Regular Polygons

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.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–4) Main Idea and Vocabulary Example 1:Solve a Simpler Problem.

Lateral Area, Surface Area, and Volume

Answers to homework problems – page 8

Section 5.2 – Central Angles and Arcs Objective To find the length of an arc, given the central angle Glossary Terms Arc – a part of a circle Central angle.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–6) Then/Now New Vocabulary Key Concept: Circumference of a Circle Example 1: Find the Circumference.

CIRCUMFERENCE: or If you unwrap a circle, how long will the line be?

10/14/ : Circumference and Area of Circles 5.3: Circumferences and Areas of Circles Expectation: G1.6.1: Solve multistep problems involving circumference.

Objective Apply formulas for perimeter, area, and circumference.

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

Over Lesson 11–7 A.A B.B C.C D.D 5-Minute Check 1 Find the circumference of the circle to the nearest tenth.

Starter The perimeter of this sector is (2r + 12∏) m. Find the radius r m, of the sector. r m.

Section 12.3 Surface Areas of Pyramids and Cones.

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.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 11–7) Then/Now New Vocabulary Key Concept: Area of a Circle Example 1: Find Areas of Circles.

Chapter 10: Area 10.7 Areas of Circles & Sectors.

5-Minute Check on Lesson 11-4 Transparency 11-5 Click the mouse button or press the Space Bar to display the answers. Find the area of each figure. Round.

Notes 10-2 Angles and Arcs. Central Angle: A central angle is an angle whose vertex is the center of a circle. Sides are two radii of the circle. The.

Splash Screen. Over Lesson 11–6 5-Minute Check 1.

Lesson 5 Menu 1.Find the area of the figure. Round to the nearest tenth if necessary. 2.Find the area of the figure. Round to the nearest tenth if necessary.

Chapter 4: Circular Functions Review for Lessons 1 & 2 Mrs. Parziale.

A.A B.B C.C D.D A in 2 B in 2 C in 2 D.79 in 2 The rectangular matting for a picture frame has a circular cutout as shown in the figure.

S URFACE A REAS OF S PHERES. Surface Area of a Sphere Find the surface area of the sphere. Round to the nearest tenth. S=4  r 2 Surface area of a sphere.

Objectives: SWBAT find the circumference of circles SWBAT solve problems involving circumference of circles.

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.

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

A.2 B.3 C.4 D.5 Refer to the figure. Find BC.. A.2 B.3 C.4 D.5 Refer to the figure. Find BC.

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.)

Radian Measure Advanced Geometry Circles Lesson 4.

Recall Area of a Circle A = r2

CHAPTER 10.2 MEASURING ANGLES AND ARCS. A central angle of a circle is an angle with a vertex in the center of the circle. The sides of a central angle.

EXAMPLE 1 Find the perimeter and area of a rectangle SOLUTION Basketball Find the perimeter and area of the rectangular basketball court shown. PerimeterArea.

Copyright © Cengage Learning. All rights reserved. 12 Geometry.

Circumference and Area of Circles Section 8.7. Goal Find the circumference and area of circles.

Circles. Parts of a Circle Center The diameter is the distance across the circle through the center The radius is the distance to the center point.

1. Assume that lines that appear tangent are tangent. Find the value of x.

Splash Screen. Then/Now You used trigonometric ratios to solve right triangles. Use the Law of Sines to solve triangles. Use the Law of Cosines to solve.

Area of a circle.

EXAMPLE 1 Find the perimeter and area of a rectangle Basketball

1.5: Using Formulas in Geometry

A rectangular plaza has a surrounding circular fence

Questions over hw?.

Main Idea and New Vocabulary Key Concept: Circumference of a Circle

Secant-Secant Angles Interior Secant Angle – An angle formed when two secants intersect inside a circle. Theorem A secant angle whose vertex is inside.

Find the volumes of cones, and spheres.

Main Idea and New Vocabulary Key Concept: Area of a Circle

Objectives Find the area of sectors..

Questions over hw?.

Questions over hw?.

Section 7.6: Circles and Arcs

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

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:

Splash Screen

Example 2 Use Area of Circles to Solve Problems PICTURE FRAMES The rectangular matting for a picture frame has a circular cutout for the photograph, as shown in the figure. What is the area of the mat? Round to the nearest tenth.

Example 2 Use Area of Circles to Solve Problems Answer: The area is about sq. in. Find the area of the rectangle minus the area of the circle. Area of rectangle Area of circle A=ℓw –  r 2 =18 ● 12 –  ● 4 2 Replace ℓ with 18, w with 12, and r with 4. =216 – 16  Simplify.  165.7Use a calculator.

Example 2 CYP A in 2 B in 2 C in 2 D.79 in 2 The rectangular matting for a picture frame has a circular cutout as shown in the figure. What is the approximate area of the matting?

Concept B Sector – a pie-shaped part of a circle bound by the radius of a circle and an arc Central angle – an angle whose vertex is the center of a circle and whose sides intersect the circle

Example 3 Find the Area of a Sector Find the area of the shaded sector in the circle. Round to the nearest tenth. Area of a sector Answer: The area is about 37.7 m 2. Replace N with 120 and r with 6. Simplify. Use a calculator.

Example 3 CYP A.4.2 in 2 B.16.8 in 2 C.33.5 in 2 D.66.0 in 2 To the nearest tenth, what is the area of the shaded sector in the circle?

Concept B