Lesson 10.1 – 10.2 Areas of Parallelograms, Trapezoids, and Circles

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Presentation transcript:

Lesson 10.1 – 10.2 Areas of Parallelograms, Trapezoids, and Circles Essential Question: How do you find the areas of parallelograms, trapezoids and circles?

Before we start…

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.

How do you find the area of a parallelogram? 𝐴=𝑏ℎ The area is the base times the height.

Find the area of the parallelogram.

Find the area of the parallelogram.

Find the area of the parallelogram.

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.

How do you find the area of a trapezoid? 𝐴= 1 2 𝑏 1 + 𝑏 2 ℎ The area equals one half times the sum of the bases times the height.

Find the area of the trapezoid.

Find the area of the trapezoid.

Find the area of the trapezoid.

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?

How do you find the area of a circle? 𝐴=𝜋 𝑟 2 The area equals pi times the radius squared.

Find the area of the circle.

Find the area of the circle.

Find the area of the circle.

Find the radius of a circle that has an area of 530.66 square feet.

Find the diameter of a circle that has an area of 78.5 square inches.

Find the radius of a circle that has an area of 314 square meters.

Find the diameter of a circle that has an area of 1256 square inches.

Find the combined area of the two face-off circles of the ice hockey rink shown.

Find the area of the shaded region.

Find the area of the shaded region.

How do you find the areas of parallelograms, trapezoids and circles?

Ticket Out the Door Find the area.