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- 1. How to Find … Created by Ryan Massey
- 2. What is Area? <ul><li>Area is the “space” that is defined by the “pe( rim )eter”. </li></ul><ul><li>All shapes that are “2-d” or “ two-dimensional” have Area. </li></ul>The Orange In this shape Is AREA On the Next page we will Learn…
- 3. How do I Find Area? <ul><li>Do you know how to Find the AREA of.. </li></ul><ul><ul><li>Squares & Rectangles? </li></ul></ul><ul><ul><li>Triangles? </li></ul></ul><ul><ul><li>Circles? </li></ul></ul><ul><li>If not, that’s a-ok, I’ll tell how on the next page </li></ul>
- 4. Some of The “ 2-D ” Area Formula’s 3 6 5 10 2 Circles ½(bh)=A ½(5 x 10) =A ½ (50) = A 25 =A ½ (bh)= A Or Triangle bh = A 6 x 3 =A 18 =A bh = A (and another formula for the Square). Square / Rectangle ~~~~~~Example~~~~~~ Formula(s) Shape(s)
- 5. Squares & Rectangles <ul><li>A Square has all the same length on all sides. </li></ul><ul><ul><li>The area Formula for the square is “ “ </li></ul></ul><ul><li>A Rectangle has 2 sets of parallel lines , and each set has their own length. </li></ul><ul><li>The area formula for the rectangle is </li></ul><ul><ul><li>“ “ </li></ul></ul><ul><li>Practice Problems are on the next page… </li></ul>
- 6. Examples <ul><li>Find the Area of the square above… then check your steps below… </li></ul><ul><li>1 st - </li></ul><ul><li>2 nd - (5) 2 =A </li></ul><ul><li>3 rd - 5 2 = 5 x 5 = 25 </li></ul>5 6 10 <ul><li>Find the Area of the square above… then check your steps below… </li></ul><ul><li>1 st - bh = A </li></ul><ul><li>2 nd - (6)(10)=A </li></ul><ul><li>3 rd - 60 = A </li></ul>
- 7. Practice Problems 5 7.5 A 3.95 B 19 14 ½ C
- 8. Problem A 5 7.5 Write out our formula.. (bh) = A Fill in the numbers that we know.. (5 x 7.5) = A
- 9. Problem A (cont.) 5 7.5 Multiply the numbers in the Parenthesis… (5 x 7.5) = A 37.5 = A
- 10. Problem B 3.95 Write out our formula.. (s) 2 = A Fill in the numbers that we know.. (3.95) 2 = A (3.95) 2 = A Square the number (3.95) 2 = 15.60 = A
- 11. Problem C 19 14 ½ Write out our formula.. (bh) = A Fill in the numbers that we know.. (19 x 14.5) = A
- 12. Problem C (cont.) Multiply the numbers in the Parenthesis… (19 x 14.5) = A 275.5 = A 19 14 ½
- 13. Our Area's are… 5 7.5 37.5 = A A 3.95 (3.95) 2 = 15.60 = A B 275.5 = A 19 14 ½ C
- 14. Triangles <ul><li>If you take a Square or rectangle, and place a Triangle on top of it, the area around the triangle would equal the area that was IN the triangle. ( give it a try). </li></ul><ul><li>HINT: Make sure you ½ the area after you have multiplied the Base (b) & Height (h) out. </li></ul><ul><li>Formula: ½(bh) = A or “ “. </li></ul><ul><li>The Base is the bottom of the triangle. </li></ul><ul><li>The Height is the Highest point of the triangle to the base… ( look at the diagram on the next page for more help ). </li></ul>
- 15. Triangles ( cont . ) The BLUE line is The Height of this Triangle. The RED Line is The Base of this Triangle . The GREEN Is the AREA Of this Triangle
- 16. Practice Problems with Triangles 24 12 10 5 19 4 A B C
- 17. (suggestions) !!!WAIT!!! Before we move on to see the answers, Go ahead and WORK-OUT the answers, then watch & see how's it done!!! Happy Calculating!
- 18. Problem A 24 12 A Write out our formula.. ½(bh) = A Fill in the numbers that we know.. ½(12 x 24) = A Click to See the Next set of Steps.
- 19. Problem A (cont.) 24 12 A Multiply the numbers in the Parenthesis… ½(12 x 24) = A ½ (288) = A Divide our area that we multiplied out by 2 or ½ . ½(288) = A ½(288) = 144
- 20. Problem B 10 5 B Write out our formula.. ½(bh) = A Fill in the numbers that we know.. ½( 5 x 10) = A Click to See the Next set of Steps.
- 21. Problem B (cont.) Multiply the numbers in the Parenthesis… ½(5 x 10) = A ½ (50) = A 10 5 B Divide our area that we multiplied out by 2 or ½ . ½(50) = A ½(50) = 25
- 22. Problem C 19 4 C Write out our formula.. ½(bh) = A Fill in the numbers that we know.. ½(4 x 19) = A
- 23. Problem C (cont.) 19 4 C Multiply the numbers in the Parenthesis… ½(4 x 19) = A ½ (76) = A Divide our area that we multiplied out by 2 or ½ . ½(76) = A ½(76) = 38
- 24. So… Our correct answers are.. A= 25 24 12 A A= 144 10 5 B 19 4 C A = 38
- 25. Circles <ul><li>The Formulas for the circle are… </li></ul><ul><li>C , or circumference is the perimeter of the circle. </li></ul><ul><li>A or Area is the space that is inside or space that is in the circle. </li></ul><ul><li>Pi – is a number that is a VERY Long Number. </li></ul>
- 26. Quick Definitions Radius Diameter When the circle chows the Diameter, you still need to 1 st find the radius. And square the radius. ( Or your answer will be WRONG!) H I N T Is double of the radius .( Or ) The line that goes from one side of the circle to the other side, passing through the center of the circle. Diameter (in blue) The line that is ½ of the distance of the Diameter Radius ( or ) radii ( In red>>) Definition Name/ Hint
- 27. How do I find Area of a Circle? 2 Write out our formula.. Fill in the numbers that we know.. A= (3.14)(2) 2
- 28. Finding the Area of Circles (cont.) Multiply the Numbers in the Parenthesis Now, it is 6.28 to the 2 nd power. A= (3.14)(2) 2 A= 6.28 2 A= 6.28 2 A= 39.43 2
- 29. Practice Problems 5 8.5 30 Find the AREA Of the circles A-C a b c
- 30. Problem a 5 Write out our formula.. Fill in the numbers that we know.. A= (3.14)(5) 2
- 31. Problem a (cont.) Multiply the Numbers in the Parenthesis Now, it is 15.7 to the 2 nd power. A= (3.14)(5) 2 A= 15.7 2 A= 15.7 2 A= 246.49 5
- 32. Problem b 30 Write out our formula.. Fill in the numbers that we know.. A= (3.14)( 30 ) 2 We Need to now find The RADIUS of this Circle. 30/2 = 15 << 15 , is now The radii or radius for This problem.
- 33. Problem b (cont.) Multiply the Numbers in the Parenthesis Now, it is 47.1 to the 2 nd power. A= (3.14)(15) 2 A=47.1 2 A= 47.1 2 A= 2218.41 30
- 34. Problem c 8.5 Write out our formula.. Fill in the numbers that we know.. A= (3.14)(8.5) 2
- 35. Problem c (cont.) Multiply the Numbers in the Parenthesis Now, it is 26.69 to the 2 nd power. A= (3.14)(8.5) 2 A= 26.69 2 A= 26.69 2 A= 712.35 8.5
- 36. So… Our Area’s are… A= 246.49 5 A= 2218.41 30 A= 712.35 8.5

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