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Lesson 10.1 – 10.2 Areas of Parallelograms, Trapezoids, and Circles
Essential Question: How do you find the areas of parallelograms, trapezoids and circles?
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Before we start…
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What are the parts of a parallelogram?
The base of a parallelogram is the length of any one of its sides. The height of a parallelogram is the perpendicular distance between the base and the opposite side.
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How do you find the area of a parallelogram?
𝐴=𝑏ℎ The area is the base times the height.
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Find the area of the parallelogram.
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Find the area of the parallelogram.
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Find the area of the parallelogram.
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What are parts of a trapezoid?
The bases of a trapezoid are its two parallel sides. The height of a trapezoid is the perpendicular distance between the bases.
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How do you find the area of a trapezoid?
𝐴= 𝑏 1 + 𝑏 2 ℎ The area equals one half times the sum of the bases times the height.
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Find the area of the trapezoid.
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Find the area of the trapezoid.
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Find the area of the trapezoid.
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The Winslow House in River Forest, Illinois, was designed by Frank Lloyd Wright. The front part of the roof is a trapezoid, as shown. What is its area?
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How do you find the area of a circle?
𝐴=𝜋 𝑟 2 The area equals pi times the radius squared.
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Find the area of the circle.
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Find the area of the circle.
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Find the area of the circle.
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Find the radius of a circle that has an area of 530.66 square feet.
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Find the diameter of a circle that has an area of 78.5 square inches.
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Find the radius of a circle that has an area of 314 square meters.
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Find the diameter of a circle that has an area of 1256 square inches.
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Find the combined area of the two face-off circles of the ice hockey rink shown.
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Find the area of the shaded region.
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Find the area of the shaded region.
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How do you find the areas of parallelograms, trapezoids and circles?
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Ticket Out the Door Find the area.
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