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Mastering Perimeter, Area, and Circumference Formulas for Problem-Solving

In this lesson, students will learn to apply the formulas for perimeter, area, and circumference to various geometric shapes. The perimeter (P) is the total length of the figure's sides. The area (A) measures the size in square units. Students will explore basic concepts, such as how to determine the base and height of triangles, and the relationship between circumference and area for circles. Additionally, real-life applications, like landscaping, will demonstrate how to calculate dimensions for projects such as building patios and walls.

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Mastering Perimeter, Area, and Circumference Formulas for Problem-Solving

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  1. Objectives Students will be able to apply perimeter, area, and circumference formulas to solve problem.

  2. The perimeterP of a plane figure is the sum of the side lengths of the figure. The areaA of a plane figure is the number of non-overlapping square units of a given size that exactly cover the figure.

  3. Remember! Perimeter is expressed in linear units, such as inches (in.) or meters (m). Area is expressed in square units, such as square centimeters (cm2).

  4. The basebcan be any side of a triangle. The heighthis a segment forms a right angle with the base. The height may be a side of the triangle or in the interior or the exterior of the triangle.

  5. What’s my base and what’s my height?

  6. Perimeter and Area with Algebra Find the area and perimeter of each figure. 1. 2. x2+ 4x; 4x + 8 10x; 4x + 16

  7. The circumference of a circle is the distance around the circle. “perimeter of the circle”

  8.  (Pi) is often approximated as 3.14 or .

  9. Find circumference and area of circles Find the area and perimeter of each circle. 1. 2.

  10. Find Circumference and Areas of Circles

  11. Find Circumference and Areas of Circles

  12. 1.5 HW answer 1. 12 ft 2.6 ft2 3. 2.4 ft or ft 4. P 9.6 m; A 5.76 m2 5. P 2x 20; A 7x 21 6. circumference 7. C 44 mi; A 154 mi2 8. 2 in. 9. 19 m 10. 12.5 mm

  13. Apply Formulas of Perimeter, Circumference and Areas

  14. Apply Formulas of Perimeter, Circumference and Areas

  15. Group wprk- Application in Real LIfe A landscaper is installing a brick patio in the backyard. He is building a rock wall around the perimeter of the patio. 1. What is the area needed for the brick patio? 2. What is the perimeter needed for building the brick wall? 28.56ft.

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