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Lesson 10.1, For use with pages 521-526

Find the area of the triangle and rectangle.
 1.                               2.
      3 ft                                     15 m
             4 ft
                                        15 m
Lesson 10.1, For use with pages 521-526

Find the area of the triangle and rectangle.
 1.                               2.
      3 ft                                     15 m
             4 ft
                                        15 m
ANSWER        6 ft2
                                  ANSWER        225 m2
Bell Work
Talk with your partner about the homework
that is due today.
   If it is a book assignment, please open your book
    so you can look back at the question.
Discuss each of the following questions with
each problem from homework:
      How did you solve the problem?
      Why did you solve it that way?
      What did you get for your answer?
Circles
           10.2
How would you define a circle?

 How do you know where the
 center of a circle is located?
The distance across the center of a circle is
called the diameter. (Line segment AB below)
The distance from the center to the edge of a
circle is called the radius. (Segment CD)

TWO RADII = One Diameter
  or the radius is ½ diameter   A
                                                D
       D÷2=R
                                    C   g
                                            B
The distance around a circle is called the
circumference.

C = π d or C = π 2 r
C = π d or C = π 2 r

Find the circumference: (round to nearest tenth)

 r = 4 in                   C=π2r
                            C = 3.14 x 2 x 4
                            C= 25.1 in
C = π d or C = π 2 r

Find the circumference:(round to nearest tenth)

   d = 7 cm                 C=πd
                            C = 3.14 x 7
                            C= 22.0 cm
Area of a circle is still the number of
SQUARE UNITS inside the closed figure.

The area formula is A = π r2

 read Pi times the radius squared and it
means Pi x radius x radius
A = π r2

Find the area of the circle below
                                A = π r2
D = 10 in                       A = 3.14 x 52
                                A=78.5 in sq
A = π r2

Find the area of the circle below
                            A = π r2
r = 3 cm
                            A = 3.14 x 32
                            A= 28.3 in sq
GUIDED PRACTICE         for Examples 1 and 2

Find the area and circumference of the circle.
Use 3.14 for л.
   1. r = 7 ft
   SOLUTION
      A = лr 2                    C = 2лr

        = 3.14    (7)2              = 2x 3.14 x 7

        = 153.9 ft2.                = 44.0 ft
GUIDED PRACTICE         for Examples 1 and 2

Find the area and circumference of the circle.
Use 3.14 for л.
   2. d = 44 m
   SOLUTION
      A = лr 2                    C = лd

        = 3.14   (22)2              = 3.14 x 44

        = 1519.8 m2.                = 138.2 m
Homework
Page 529 #4-7
   Find both circumference and area for each
    problem.
   ROUND TO THE NEAREST TENTH
   SHOW YOUR WORK!

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10.2 circles 1

  • 1. Lesson 10.1, For use with pages 521-526 Find the area of the triangle and rectangle. 1. 2. 3 ft 15 m 4 ft 15 m
  • 2. Lesson 10.1, For use with pages 521-526 Find the area of the triangle and rectangle. 1. 2. 3 ft 15 m 4 ft 15 m ANSWER 6 ft2 ANSWER 225 m2
  • 3. Bell Work Talk with your partner about the homework that is due today.  If it is a book assignment, please open your book so you can look back at the question. Discuss each of the following questions with each problem from homework: How did you solve the problem? Why did you solve it that way? What did you get for your answer?
  • 4. Circles 10.2 How would you define a circle? How do you know where the center of a circle is located?
  • 5. The distance across the center of a circle is called the diameter. (Line segment AB below) The distance from the center to the edge of a circle is called the radius. (Segment CD) TWO RADII = One Diameter or the radius is ½ diameter A D D÷2=R C g B
  • 6. The distance around a circle is called the circumference. C = π d or C = π 2 r
  • 7. C = π d or C = π 2 r Find the circumference: (round to nearest tenth) r = 4 in C=π2r C = 3.14 x 2 x 4 C= 25.1 in
  • 8. C = π d or C = π 2 r Find the circumference:(round to nearest tenth) d = 7 cm C=πd C = 3.14 x 7 C= 22.0 cm
  • 9. Area of a circle is still the number of SQUARE UNITS inside the closed figure. The area formula is A = π r2 read Pi times the radius squared and it means Pi x radius x radius
  • 10. A = π r2 Find the area of the circle below A = π r2 D = 10 in A = 3.14 x 52 A=78.5 in sq
  • 11. A = π r2 Find the area of the circle below A = π r2 r = 3 cm A = 3.14 x 32 A= 28.3 in sq
  • 12. GUIDED PRACTICE for Examples 1 and 2 Find the area and circumference of the circle. Use 3.14 for л. 1. r = 7 ft SOLUTION A = лr 2 C = 2лr = 3.14 (7)2 = 2x 3.14 x 7 = 153.9 ft2. = 44.0 ft
  • 13. GUIDED PRACTICE for Examples 1 and 2 Find the area and circumference of the circle. Use 3.14 for л. 2. d = 44 m SOLUTION A = лr 2 C = лd = 3.14 (22)2 = 3.14 x 44 = 1519.8 m2. = 138.2 m
  • 14. Homework Page 529 #4-7  Find both circumference and area for each problem.  ROUND TO THE NEAREST TENTH  SHOW YOUR WORK!