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Exploring Area Calculation Challenges: Circles and Sprinklers

Dive into the exciting world of circular geometry with engaging problems involving crop circles, garden sprinklers, circular pizzas, and more. In this review, Manuel and Matthias create crop circles, calculating the area difference between circles of varying diameters. Learn how to determine the irrigation area of a sprinkler, find the area of a walkway surrounding a circular garden, and even compute the cost per square centimeter of a pizza. Lastly, tackle an intermission challenge that tests your understanding of area with a puck and a hole. Perfect for enhancing problem-solving skills!

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Exploring Area Calculation Challenges: Circles and Sprinklers

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Presentation Transcript

  1. Problem Solving The Area of a Circle

  2. Review

  3. Review

  4. Crop Circles • Manuel and Matthias decide to create a crop circle design in their father’s farm field. • The biggest circle has a diameter of 16m. • The smallest circle has a diameter one fourth the size of the biggest • How much greater is the area of the biggest circle?

  5. The Sprinkler • A water sprinkler can spray water at a maximum distance of 12 m in all directions. What area of the garden can this sprinkler irrigate? round your answer to the nearest square meter.

  6. The Garden • A circular garden with a radius of 10 meters is surrounded by a walkway of width 1 meter. Find the area of the walkway (shaded part).

  7. The Pizza • A circular pizza costs $19.99. What is the cost of 1 square centimetre if the diameter of the pizza is 36 cm?

  8. The Intermission Challenge • Boston College is hosting an intermission challenge. A person shoots a puck from center ice and if it goes through the hole, he or she wins a million dollars. • If the area of the puck is 18 cm squared, how big will they need to make the hole?

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