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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 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 – 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) ð3 = 29.5 cm2
12.6 Surface Area & Volume of Spheres. Definitions Sphere – the locus of points in space that are a given distance from a given point. (looks like a ball)Sphere.
Homework Answers P. 570P / approx /2 or /2 or.
FeatureLesson Geometry Lesson Main 1. A circle graph has a section marked Potatoes: 28%. What is the measure of the central angle of this section? 2. Explain.
Area of Polygons and Circles Chapter Angle Measures in Polygons The sum of the measures of the interior angles of a polygon depends on the number.
Area of Circles and Parts of Circles. Finding the area of a circle The area of a circle is found using the formula A = r 2.
Prime Time Circle the seven prime numbers that, when added together, equal 75. 3, 11, 14, 13, 5, 17, 12, 6, 19, 23, 7, 9 Remember a prime number is a number.
Learn to find the volume of pyramids and cones. Course Volume of Pyramids and Cones.
By: Ashley, Kelsey, Devin, Jarred, Shaq. Surface area formula SA=4πr^2 Finding a radius EX. SA=30in plug it back into formula SA=4πr^2 30in=4πr^2.
12.6 Surface Area and Volume of Spheres Geometry.
= (x + 6) (x + 2) Factor. 1. x 2 +8x x 2 +16x x x + 32 Multiply 4.(x – 9)(x + 9) = (x + 12) (x + 4) = (x - 16) (x - 2)
FeatureLesson Geometry Lesson Main 1. A park contains two circular playgrounds. One has a diameter of 60 m, and the other has a diameter of 40 m. How much.
Volumes of Pyramids & Cones Objectives: 1) Find the volume of a right Pyramid. 2) Find the volume of right Cone.
Find the area of sectors. Find arc lengths. Objectives.
AREA OF COMPOSITE FIGURES. COMPOSITE FIGURES A composite figure is made of triangles, quadrilaterals, semicircles, and other 2-D figures. A semicircle.
HOW TO MULTIPLY FRACTIONS Introducing: factor product reciprocal multiplicative inverse identity invert.
Other Angle Relationships in Circles Section 10.4 Goal: - To solve problems using angles formed by tangents, chords and lines that intersect a circle.
Problem # Problem #
Chapter 9- Distance and Conics Annie Kane-P What’s the distance? CirclesParabolasEllipsesHyperbolas
Entry Task Solve for y 1) 2x + -3y < 12 2) x > ½ y - 7.
Warm up Find the circumference of the circle with a sector area of
Section 10.1 Circles Notes What is a CIRCLE? A CIRCLE is the set of all points in a plane equidistant from a given point.
5 th Grade Miss Camerons Class. The circumference of a circle is The distance around a circle Hint: Circumference remember circle around. Circumference.
GeometryGeometry 10.6 Equations of Circles Geometry Mrs. Spitz Spring 2005.
Quadrilaterals II by Monica Yuskaitis. Copyright © 2000 by Monica Yuskaitis Quadrilateral Family parallelogram rectangle rhombus square trapezoid.
Holt Algebra Point-Slope Form Warm Up Find the slope of the line containing each pair of points. 1. (0, 2) and (3, 4) 2. (–2, 8) and (4, 2) 3. (3,
Arithmetic and Geometric Means OBJ: Find arithmetic and geometric means.
Word Problems Perimeter and Circumference of Circles.
10.1 Tangents to Circles Geometry Mr. Davenport Spring 2010.
Reducing Fractions. Factor A number that is multiplied by another number to find a product. Factors of 24 are (1,2, 3, 4, 6, 8, 12, 24).
Holt Algebra Multiplying Polynomials 7-7 Multiplying Polynomials Holt Algebra 1 Warm Up Warm Up Lesson Presentation Lesson Presentation Lesson Quiz.
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