Mathematics Grade 7 15 min

Area of compound figures with triangles, semicircles, and quarter circles

Area of compound figures with triangles, semicircles, and quarter circles

What you'll learn

  • Identify the different geometric shapes (triangles, semicircles, quarter circles, rectangles, squares) that make up a compound figure with 80% accuracy on a worksheet.
  • Calculate the area of individual triangles, semicircles, and quarter circles within a compound figure using the correct formulas, demonstrating the steps in their work.
  • Solve for the total area of compound figures by adding and/or subtracting the areas of the individual shapes with at least 70% accuracy on a quiz.
  • Explain the process of finding the area of a compound figure in their own words, including the steps involved in finding the areas of triangles, semicircles, and quarter circles.

Tutorial Preview

1

Find the area of a 6x4 rectangle with a semicircle on a side of 6. Use π ≈ 3.14.

2

Find the area of a 5x5 square with a quarter circle (radius 5) removed. Use π ≈ 3.14.

3

Find the area of an 8x5 rectangle with a triangle (base 8, height 3) on top.

Sample Practice Questions

Easy
Find the area of a 10x4 rectangle with a triangle (base 10, height 5) on top.
0.65
1.40
2.25
3.90
Easy
Find the area of an 8x2 rectangle with a semicircle on the 8-unit side. Use π ≈ 3.14.
0.41.12
1.16
2.25.12
3.66.24
Easy
Find the area of a 10x10 square with a quarter circle (radius 10) removed. Use π ≈ 3.14.
0.21.5
1.100
2.78.5
3.178.5

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Frequently asked questions

What grade level is "Area of compound figures with triangles, semicircles, and quarter circles"?

Area of compound figures with triangles, semicircles, and quarter circles is a Grade 7 Mathematics lesson on ExcelOS.

What will I learn in Area of compound figures with triangles, semicircles, and quarter circles?

You'll be able to: Identify the different geometric shapes (triangles, semicircles, quarter circles, rectangles, squares) that make up a compound figure with 80% accuracy on a worksheet; Calculate the area of individual triangles, semicircles, and….

Is "Area of compound figures with triangles, semicircles, and quarter circles" free to practice?

Yes. You can read the tutorial preview for free, and signing up for a free ExcelOS account unlocks the full tutorial and all practice questions with instant feedback.

How many practice questions are included with Area of compound figures with triangles, semicircles, and quarter circles?

This lesson includes 25 practice questions across multiple difficulty levels, each with instant feedback and explanations.

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