Math-2 Lesson 6-3: Area of: Triangles, rectangles, circles and Surface Area of Pyramids

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1 Math- Lesson 6-3: rea of: Triangles, rectangles, circles and Surface rea of Pyramids

2 SM: Lesson 6-3 (rea) For the following geometric shapes, how would you answer the question; how big is it?

3 Describe the idea of area. rea attempts to answer the question how big is it? inch The area of this square is.? area = length * width inch area = ( inch)( inch) area inch area = square inch

4 area 4(inch ) inch area = 4 square inches inch The area of this square is.? When we ask for an area, we really mean, how many inch squares will fit in the area.

5 The area of this rectangle is.? 4 in. in area rectangle length*width

6 inch The area of this circle is.? how many inch squares will fit in the circle. inch area less than 4inch Will all those extra corners make up sq. inch? No. They make up slightly less than sq. inch. area slightly more than 3inch area 3.48inch

7 What is the definition of pi? distance around the circle distance across the circle Circumference diameter C D C D Circumference radii C r C r

8 The area of this circle is.? area r What is the area of the circle given by the equation? 6 x ( y ) area 6

9 The area of this circle is.? r Is the given dimension a radius?.7 inch area in If decimal dimensions are given in the problem, it is OK to have a decimal answer. If the problem says to use 3.4 for pi, DO NOT use the pi button on your calculator; use 3.4.

10 The formula for the area of a triangle comes from the rectangle. Diagonals of parallelograms make. Two congruent triangles. Each triangle has half the area of the rectangle. area triangle *length* width

11 The area of this triangle is.? 4 in * base* height 3 in Base (of a triangle): any side of the triangle. height (of a triangle): the perpendicular distance (altitude) from any vertex of the triangle to its opposite side.

12 The altitude of a triangle. * base* height rea formula: requires the use of matching altitudes and sides. Using segment BC as the base, requires the use of segment E as the height.

13 The altitude of a triangle. * base* height rea formula: requires the use of matching altitudes and sides. Using segment C as the base, requires the use of segment BD as the height.

14 The altitude of a triangle. * base* height rea formula: requires the use of matching altitudes and sides. Using segment B as the base, requires the use of segment FC as the height.

15 Find the area of the triangle using altitude E as its height. E 6. sin 4.8 E 6.sin * base* height *BC*E *(6.3)*(4.08).89 units

16 Find the area of the triangle using altitude BD as its height. BD 6.3 sin 4.8 BD 6.3sin * base* height *C*BD *(6.)*(4.).88 units

17 Find the area of the triangle using altitude CF as its height. CF 6.3 sin 66.6 BD 6.3sin * base* height *B*CF *(4.44)*(5.8).88 units

18 What does surface area mean? Surface area: The area of the surface of the shape. Why would this information be important? Helps you to know how much material you need to build, paint, or cover the item.

19 The surface area of a pyramid is.? The sum of the area of the faces. Rectangular Pyramid has a 4-sided base: it has four triangular faces. The slant height of the pyramid is the height of the triangular face.

20 4 in The surface area of a rectangular pyramid is rectangle and 4 triangles. 6 inches The sum of the area of the 5 faces. 4 in 6 inches area base l * w 6 in slant height (in) (6in) base*slant height slant height 40 in 6.3 in area face in area face face *4 in *6.3in area.6 in area total 4(.6 in area 66.4 in total ) 6 in

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