Exploring Area of Composite Figures and the Coordinate Plane

The video tutorial covers sections 10.3 and 10.4, focusing on composite figures and placing figures in a coordinate plane. It begins with a review of circle properties, including area and circumference. The tutorial then provides examples of calculating areas of composite figures, using both addition and subtraction methods. It also demonstrates estimating areas and finding the area and perimeter of polygons in a coordinate plane.

What formula is used to calculate the circumference of a circle?

• C = 2πr

• A = 2πr^2

• A = πr^2

• C = πd

What is the area formula for a circle?

• A = πr^2

• A = 2πr

• A = πd^2

• A = r^2/π

What is the correct way to express the area of a shape in square units?

• 9π squared centimeters

• 9 square centimeters

• 9π centimeters squared

• 9 centimeters π squared

How do you calculate the area of a composite figure made of rectangles?

• Multiply base by height and add them together

• Divide the shape into smaller shapes and sum their areas

• Subtract the smaller area from the larger area

• Use the Pythagorean theorem

What method is used to find the area of complex composite figures?

• Adding areas of simple shapes

• Subtracting areas of simple shapes from a total

• Multiplying the areas of simple shapes

• Dividing the total area by the number of shapes

In composite figures, how do you handle a semi-circle's area calculation?

• Multiply πr^2 by 1/2

• Divide the diameter by π

• Multiply πr^2 by 2

• Use the full circle's area

How is the radius determined when a circle is part of a composite figure in a coordinate plane?

• By measuring the diameter and dividing by 2

• By halving the side length adjacent to the circle

• Using the distance formula

• Calculating the circumference and solving for radius

How do you find the perimeter of a rectangle in a coordinate plane?

• Multiply the base by the height

• Add the lengths of all sides

• Use the distance formula for one side and double it

• Calculate the area and take the square root

When estimating the area of composite figures, what is an acceptable outcome?

• A result double the actual size

• An exact calculation

• Ignoring small shapes within the figure

• A slight overestimation or underestimation

What is the first step in calculating the area of a figure on a coordinate plane?

• Identifying the vertices

• Drawing a rectangle around the figure

• Dividing the figure into triangles

• Calculating the perimeter