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Understanding Perimeter, Circumference, and Area: A Comprehensive Guide

This guide covers essential concepts in geometry, focusing on the calculations of perimeters, circumferences, and areas of various plane shapes. Learn how to determine the distance between points, calculate the circumference and area of circles using the formulas (C = 2pi r) and (A = pi r^2), and understand square and rectangle properties. Explore critical conversions between feet, yards, inches, and centimeters, and apply these concepts through word problems and practice exercises. Ideal for reinforcing foundational geometry skills.

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Understanding Perimeter, Circumference, and Area: A Comprehensive Guide

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Presentation Transcript

  1. Warmup – Enter Room 195236 • What is the Distance between point A (-3, 8) and B (4, -3) to the nearest tenth?

  2. 1.7 Perimeter, Circumference, and Area

  3. Learning Target • I can find the perimeters, circumferences and areas of plane shapes using formulas

  4. Circles • Radius – Measure from the center of the circle to the outside of the circle ; r • Diameter- Measure from one endpoint of a circle to another endpoint of a circle, and it must go through the center; d • Circumference – Distance around the circle; C=2πr or C = πd • Area – number of square units it encloses; A=πr²

  5. Find the Circumference of each circle

  6. Find the area of each circle

  7. Squares and Rectangles Perimeter is the distance around. To find the perimeter of a square of rectangle, add up all of the sides Area is A =bh b- base, h- height

  8. Conversions • How many feet are in a yard • How many inches are in a foot • How many centimeters are in a meter

  9. Find the area of each rectangle with the given base and height 1) 2)

  10. Be able to apply it to word problems • Draw a picture to help you solve this.

  11. Problem Solving • Find the area of the shaded region

  12. Find the area of the shaded region

  13. Classwork/Homework • Practice 1-7 worksheet

  14. Warmup • X(0,2), Y(4, -1), Z(-2, -1) ;Graph the shape and find the perimeter • Hint: use distance formula

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