Advanced Geometry Areas and Volumes Lesson 1 Areas

  • Slides: 18
Download presentation
Advanced Geometry Areas and Volumes Lesson 1 Areas

Advanced Geometry Areas and Volumes Lesson 1 Areas

Area Formulas ** The base and the height of any polygon are perpendicular to

Area Formulas ** The base and the height of any polygon are perpendicular to each other. Parallelograms Triangles

Trapezoids Rhombi

Trapezoids Rhombi

Example: Find the area and perimeter of parallelogram ABCD to the nearest tenth.

Example: Find the area and perimeter of parallelogram ABCD to the nearest tenth.

Example: Find the area and perimeter of parallelogram RSTU.

Example: Find the area and perimeter of parallelogram RSTU.

Example: Find the length of the base of the triangle if its area is

Example: Find the length of the base of the triangle if its area is 384. 25 square inches. 14. 5 in.

Example: Find the area of quadrilateral ABCD if AC = 35, BF = 18,

Example: Find the area of quadrilateral ABCD if AC = 35, BF = 18, and DE = 10.

Example: Trapezoid WXYZ has an area of 13. 75 square meters. Find WX.

Example: Trapezoid WXYZ has an area of 13. 75 square meters. Find WX.

Example: Rhombus RSTU has an area of 64 square inches. Find US if RT

Example: Rhombus RSTU has an area of 64 square inches. Find US if RT = 8 inches.

Areas of Regular Polygons P a Perimeter apothem

Areas of Regular Polygons P a Perimeter apothem

Example: Find the area of a regular pentagon with a perimeter of 90 meters

Example: Find the area of a regular pentagon with a perimeter of 90 meters to the nearest tenth.

Example: Find the area of a regular hexagon with apothem length of 18 inches

Example: Find the area of a regular hexagon with apothem length of 18 inches to the nearest tenth.

Area of a Circle

Area of a Circle

Example: An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover

Example: An outdoor accessories company manufactures circular covers for outdoor umbrellas. If the cover is 8 inches longer than the umbrella on each side, find the area of the cover in square yards.

Example: Find the area of the shaded region. Assume that the quadrilateral is a

Example: Find the area of the shaded region. Assume that the quadrilateral is a square. Round to the nearest tenth. ft

Example: Find the area of the shaded region. Assume that the triangle is equilateral.

Example: Find the area of the shaded region. Assume that the triangle is equilateral. Round to the nearest tenth.

Example: What is the area of the composite figure? Round to the nearest tenth.

Example: What is the area of the composite figure? Round to the nearest tenth.

Example: Find the area of the composite figure. Round to the nearest tenth, if

Example: Find the area of the composite figure. Round to the nearest tenth, if necessary.

Lung Volumes 172022 Lung Volumes 1 Lung VolumesLung Volumes 172022 Lung Volumes 1 Lung Volumes
Projective Geometry Projective Geometry Projective Geometry Projective GeometryProjective Geometry Projective Geometry Projective Geometry Projective Geometry
Geometry 12 5 Areas and Volumes of SimilarGeometry 12 5 Areas and Volumes of Similar
Calculating gasgas volumes and concentrations Calculating volumes andCalculating gasgas volumes and concentrations Calculating volumes and
Volumes of Prisms and Cylinders Find volumes ofVolumes of Prisms and Cylinders Find volumes of
Volumes of Pyramids and Cones Find volumes ofVolumes of Pyramids and Cones Find volumes of
TIN MODEL VOLUMES Reservoir Volumes TIN vs LEVELTIN MODEL VOLUMES Reservoir Volumes TIN vs LEVEL
Bounding Volumes CSE 681 Bounding Volumes Use simpleBounding Volumes CSE 681 Bounding Volumes Use simple
TIN MODEL VOLUMES Reservoir Volumes TIN vs LEVELTIN MODEL VOLUMES Reservoir Volumes TIN vs LEVEL
Chapter 22 Respiratory System Respiratory Volumes Respiratory VolumesChapter 22 Respiratory System Respiratory Volumes Respiratory Volumes
14 4 Volumes of Prisms Find volumes of14 4 Volumes of Prisms Find volumes of
Find volumes of prisms Find volumes of cylindersFind volumes of prisms Find volumes of cylinders
Chapter 10 EndArea Volumes EndArea Volumes Earthwork isChapter 10 EndArea Volumes EndArea Volumes Earthwork is
VOLUMES BY CYLINDRICAL SHELLS Cylinder Shell VOLUMES BYVOLUMES BY CYLINDRICAL SHELLS Cylinder Shell VOLUMES BY
7 3 VOLUMES WITH KNOWN CROSS SECTIONS VOLUMES7 3 VOLUMES WITH KNOWN CROSS SECTIONS VOLUMES
Volumes of Solids of Revolution Approximating Volumes asVolumes of Solids of Revolution Approximating Volumes as
Volumes of Revolution Volumes of Revolution Well firstVolumes of Revolution Volumes of Revolution Well first