Exploring Area of Composite Figures

Exploring Area of Composite Figures

Assessment

Interactive Video

Mathematics

6th - 10th Grade

Hard

Created by

Mia Campbell

FREE Resource

In this video tutorial, the teacher explains how to find the area of a shaded region formed by a square inside a circle. The lesson begins with a description of the problem, followed by calculations of the circle's and square's areas. The teacher demonstrates how to subtract the square's area from the circle's to find the shaded region. The video concludes with practice problems and a reminder to ask questions if needed.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What geometric shapes are involved in finding the shaded area?

Rectangle and circle

Triangle and square

Square and circle

Circle and triangle

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula to calculate the area of a circle?

pi * radius

radius^2 / pi

2 * pi * radius

pi * radius^2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the radius of the circle is 6 meters, what is the area of the circle?

113.04 meters squared

12 pi meters squared

36 pi meters squared

72 meters squared

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the area of a square?

2 * (Length + Width)

Side * Side

Side + Side

Base * Height

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of a square with a side length of 8.5 meters?

17 meters squared

72.25 meters squared

42.5 meters squared

34 meters squared

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the area of the shaded region?

Add the areas of the circle and square

Multiply the areas of the circle and square

Subtract the area of the square from the circle

Divide the area of the circle by the square

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area of the shaded region if the circle's area is 113.04 m^2 and the square's area is 72.25 m^2?

140.79 meters squared

185.29 meters squared

40.79 meters squared

85.79 meters squared

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