TODAY IN GEOMETRY… BOOK RETURN: by this Friday!

Learning Target 1: 11.1-11.2 You will find areas of different polygons

AT EXIT: In class assignment #1

Learning Target 1: 11.4 You will find areas of different polygons

Independent practice

Ch.10 Retake by next week Friday!

Extra Credit: EOC Practice #12

AREA OF A SQUARE: The area of a square is the square of the length of its side.

𝑙

𝑤

𝑠

𝑠

𝐴𝑟𝑒𝑎=𝑙 ∙𝑤 𝐴𝑟𝑒𝑎=𝑠 ∙𝑠=𝑠2

AREA OF A RECTANGLE: The area of a rectangle is the product of its base and height.

𝑏

h

𝐴𝑟𝑒𝑎=𝑏 ∙ h

PRACTICE: Find the value of x.

Use Area of a Rectangle Substitute known values

Divide

AREA OF A PARALLELOGRAM: The area of a parallelogram is the product of a base and its corresponding height.

𝑏

h

𝐴𝑟𝑒𝑎=𝑏 ∙ h

h

PRACTICE: Find the area of the given figure.

8𝑚

20𝑚

Use Area of a Parallelogram Substitute known values

Multiply

AREA OF A TRIANGLE: The area of a triangle is one half the product of a base and its corresponding height.

𝑏

h

𝐴𝑟𝑒𝑎=12𝑏h

PRACTICE: Find the perimeter and the area of the given polygon.

Perimeter:

Perimeter:

Pythagorean Thrm:

Perimeter:

PRACTICE: Find the area of the shaded region.

Pythagorean Thrm. to find x:

𝒙 𝒙1

2

Find areas separately, then total!

𝒉=𝟖−𝟓=𝟑𝒉

AREA OF A TRAPEZOID: The area of a trapezoid is one half the product of the height and the sum of the lengths of the bases.𝑏1

h

𝑨𝒓𝒆𝒂=𝟏𝟐𝒉(𝒃𝟏+𝒃𝟐)

𝑏2

AREA OF A RHOMBUS: The area of a rhombus is one half the product of the lengths of its diagonals.

𝒅𝟏

𝑨𝒓𝒆𝒂=𝟏𝟐𝒅𝟏𝒅𝟐

𝒅𝟐

AREA OF A KITE: The area of a kite is one half the product of the lengths of its diagonals.

𝒅𝟏

𝑨𝒓𝒆𝒂=𝟏𝟐𝒅𝟏𝒅𝟐

𝒅𝟐

PRACTICE: Find the area of the given quadrilateral.

AT EXIT:In class assignment #1:

Pg. 723: 3-6, 16, 22Pg. 733: 3, 4, 10-12, 20

CIRCUMFERENCE OF A CIRCLE: The distance around a circle is found from the formula

𝑪=𝝅𝒅

We also know that:𝑑

𝑟 𝑟

𝑪=𝟐𝝅𝒓

PRACTICE: Find the indicated measure.

a. Circumference of a circle with radius 9 centimeters.

b. Radius of a circle with circumference 26 meters.

ARC LENGTH: Part of the circumference

𝑨𝒓𝒄 𝑳𝒆𝒏𝒈𝒕𝒉𝒐𝒇 𝑨𝑩=𝒎𝑨𝑩𝟑𝟔𝟎°

∙𝟐𝝅 𝒓

𝑃

𝑟

𝑟𝐴

𝐵

PRACTICE: Find the length of each red arc.

PRACTICE: Find the indicated arc, circumference and radius.

HOMEWORK #2:

Pg. 749: 3-7, 11-13, 15-23

If finished, work on other assignments:

IN CLASS assignment #1: Pg. 723: 3-6, 16, 22 Pg. 733: 3, 4, 10-12, 20