Area Geometry Prep for Algebra 1. Area & Perimeter Area: the two-dimensional size of a figure Perimeter: The distance around the edge of figure.

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Presentation transcript:

Area Geometry Prep for Algebra 1

Area & Perimeter Area: the two-dimensional size of a figure Perimeter: The distance around the edge of figure.

Parallelogram

Let’s Practice… 1. 2.

Let’s Practice… 1.If the area is 60 in 2, and the base is 6 in, what is the length of the height?

Triangle

Let’s Practice…

If the area is 32.5 in 2, what is the length of the base?

Trapezoid

Let’s Practice…

If the area of the trapezoid is 21.25, what is the length of the second base?

Kite MEMORIZE THIS!!!! This formula is not on the reference sheet.

Let’s Practice…

Circle

Let’s Practice…

Find the area of the shaded region.

Irregular Figures How would you find the area of this figure?

Area of Irregular Figures 2 different ways… 1 st Method: 1. Break the irregular shape up into known figures. 2. Find the area of each known figure. 3. Add all areas together to find the area of the irregular figure.

Area of Irregular Figures 2 different ways… 1 st Method:

2 nd Method: 1. Fill in the missing space. 2. Find the area of the large, filled in figure. Then, find the area of smaller shape. 3. Subtract. Area of large – Area of small = Area of composite figure Area of Irregular Figures

2 nd Method: Area of Irregular Figures

Let’s Practice…

Regular Polygons P= perimeter a= apothem: perpendicular bisector; from center to side

Let’s Practice… Each side of the regular heptagon has length 14.7 cm, and the apothem is about 10.1 cm. Area _________ cm 2. (Round to the nearest 0.1.)

Let’s Practice… A regular octagon has area 690 square feet and side length 20 feet. Find the apothem to the nearest tenth of a foot.

Any Way You Slice It… Sector of a Circle: the region between two radii and an arc of a circle.

Sector of a Circle

Let’s Practice…

Segment of a Circle Segment of a Circle: the region between the chord and the arc of a circle.

Let’s Practice… Find the area of the shaded region.