Arcs and Circles Jeopardy 1.You must record each question and answer on a separate sheet of paper 2.Each group will have an answerer, calculatorer, and.

Slides:

Advertisements

Similar presentations

Warm-Up Exercises Simplify the expression. ANSWER 1 8 3π3π (9π)

Advertisements

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.

Seventh Grade Geometry Unit 5. Warm Up 1) Complementary angles add up to ______. 2) The angles in a triangle add up to _______. 3) _________________________.

If the diameter of a circle is 6 in, then what is its radius?

EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator. =

TODAY IN GEOMETRY…  Warm up: Writing equations of a circle  Learning Target : 11.4 You will find the arc length and circumferences of circles  Independent.

Area and Circumference of Circles

EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator. =

Circumference and Arc Lengths Lesson The circumference of a circle is its perimeter. C = πd Leave answer in terms of π unless asked to approximate.

Circumference & Arc Length. Circumference The distance around a circle C = 2r or d.

Circumference and Arc Length

EXAMPLE 4 Solve a multi-step problem A softball field forms a sector with the dimensions shown. Find the length of the outfield fence and the area of the.

Keystone Geometry 1 Area and Circumference of a Circle.

Degrees, Minutes, Seconds

7.6: Circles and Arcs Objectives:

MM2G3 Students will understand properties of circles. MM2G3 c Use the properties of circles to solve problems involving the length of an arc and the area.

APK 5-MINUTE CHECK CIRCUMFERENCE AND ARC LENGTH.

Areas of Circles and Sectors

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.

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

6.7 Circumference & Arc Length p.224. Circumference Defn. – the distance around a circle. Thm – Circumference of a Circle – C = 2r or C = d *

Geometry 1 Area and Circumference of a Circle. Central Angle A central angle is an angle whose vertex is at the center of the circle. 2 The measure of.

Note 2: Perimeter The perimeter is the distance around the outside of a shape. Start at one corner and work around the shape calculating any missing sides.

11.4 Warm Up Warm Up Lesson Quiz Lesson Quiz Lesson Presentation Lesson Presentation Circumference and Arc Length.

Use the formula for circumference

Warm-up Find the circumference and area of the following circles: R = 7 ft D = 20 in.

Geometry Honors Section 5.3 Circumference and Area 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.

Warm up: 1.A _______________ is the set of all points equidistant from a given point called the _______________. 2.A _______________ is a segment that.

11.5 Sectors and Arc Lengths

Circles…… Area and Circumference The Circumference of a Circle Find the circumference of the following circles. C =  d C = 2  r 8 cm cm 2 C =

X = 3y = 4z = 8 2x Step 1X = 3 Step 22(3) 2 – 6 2 Step 4 2(9) – 6 2Step 3 18 – 12 =6.

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.

CIRCLES CIRCUMFERENCE & AREA. CIRCUMFERENCE C = ΠdorC = 2Πr 12cm.

11.4 Circumference and Arc Length

Areas of Circles and Sectors

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)

Circumference The distance around a circle or Find the circumference to the nearest tenth

Sector of a Circle Section  If a circle has a radius of 2 inches, then what is its circumference?  What is the length of the arc 172 o around.

Perimeter and Area with Circles. Circumference of a Circle Circumference is the perimeter of the circle Formula: or (for exact answers, leave π in your.

EXAMPLE 1 Use the formula for circumference Find the indicated measures. Write circumference formula. Substitute 9 for r. Simplify. Use a calculator.

Sections Perimeter and Area with Circles.

© 2010 Pearson Prentice Hall. All rights reserved Circles § 7.7.

OBJ: SWBAT USE THE FORMULA FOR CIRCUMFERENCE, USE ARC LENGTHS TO FIND MEASURES AND SOLVE REAL-LIFE PROBLEMS Circumference and Arc Length.

10-7 Area of Circles and Sectors. REVIEW Circumference: The total distance (in length) around a circle. Arc measure: The measure of the central angle.

10.6/10.7 Circles, Arcs, Segments, and Sectors

Geometry B Bellwork 1) Find the length of the apothem of a regular hexagon given a side length of 18 cm.

11.4 Circumference and Arc Length

11.1 Circumference and Arc Length 11.2 Areas of Circles and Sectors

2 Types of Answers Exact Rounded Use the Pi button on your calculator

16. Find the value of x. x○ 170○.

11.4 Circumference and Arc Length

Area and Circumference of a Circle

11.3 Sector Area and Arc Length (Part 1)

Circumference and Arc Length

Section 11.4 Circumference and Arc Length Theorem

11.1 Arc Length.

11.4 Circumference and Arc Length

5.7 Circumference and Arc Length

Central Angles and Arc Length

11.1: Circumference and Arc Length

Semicircle basics.

NOTES 10.9 Circumference and Arc Lengths.

Lesson 8-2 Formulas Circumference Arc Length Area Sector.

11.4 Circumference and Arc Length

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

Presentation transcript:

Arcs and Circles Jeopardy 1.You must record each question and answer on a separate sheet of paper 2.Each group will have an answerer, calculatorer, and a score tallyer points=1 bonus point on test

ARCSCIRCLESAREA APPLY

Final Jeopardy Write down the number of points your group wants to wager on the Final Jeopardy Question. If you get the question right you will add those points to your groups total If you get the question wrong you will subtract those points from your groups total

Final Jeopardy

The ratio of the circumference of a circle to its diameter.

Name a minor arc & a major arc in the diagram.

LM = 8.93 cm

LNM = cm

Name a radius

Name the diameter

Find the circumference

18.84 m

Find the circumference

mm

The tire on Ellen’s bike has a diameter of 31 in. How far with she travel after 10 revolutions.

973.4 inches

Find the area of the circle

ft 2

Find the area of the circle

m 2

Find the area of the sector

cm 2

Find the area of the sector

m 2

Find the area of the shaded region

243 in 2

The fair lines on a baseball diamond make a 90 o The fair lines on a baseball diamond make a 90 o angle at home plate. If the distance from home plate to the outfield fence is 350 feet, what is the length of the fence?

549.5 feet

The length of a semicircle is 10 inches, what is the area of the circle?

31.75 in 2

The area of a circle is 90 cm 2, find the circumference of the circle.

33.6 cm

The area of a 45 o sector is 30 in 2, what is the diameter of the circle?

27.45 in

A circle with a diameter of 50 feet is divided into 6 equal parts, what is the area of one sector?

ft 2