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Perimeter of Shapes With Semicircle Edges

Written by Adi Ackerman, Head Teacher

"Perimeter of Shapes With Semicircle Edges" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.G.B.4. A 6th grader who is already steady on geometry can use it too, and an older student can use it as a short review.

Popular with 7th Grade teachers · Downloaded 435 times
Perimeter of Shapes With Semicircle Edges
Perimeter of Shapes With Semicircle Edges

7th grade math worksheet: find perimeters of shapes with semicircle edges by adding straight edges to curves, skipping dashed lines. Answer key included. Part of our semicircles and quarter circles geometry collection. Aligned to Common Core standards.

How do I use this worksheet?

Start with the area sheets, then move to perimeter, where the straight sides have to be added in. Save the composite figures for last, since they combine area of a polygon and area of a curve.

What students will practice

  • Students will tell which edges of a shape count toward the perimeter.
  • Students will add the straight edges to the curved edge, which is half of πd.
  • Students will use 3.14 for π.


Curriculum Links

Common Core State Standards

Geometry · 7th Grade

7.G.B.4

Standard: Know the formulas for the area and circumference of a circle and use them to solve problems; give an informal derivation of the relationship between the circumference and area of a circle.

View all 7.G.B.4 worksheets →

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Browse the grade, subject, and topic this belongs to.

FAQ

How do I use this semicircles and quarter circles worksheet?

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Start with the area sheets, then move to perimeter, where the straight sides have to be added in. Save the composite figures for last, since they combine area of a polygon and area of a curve.

What does this worksheet teach?

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Find perimeters of shapes with semicircle edges by adding straight edges to curves, skipping dashed lines. The directions on the page read: Add the straight outer edges and the curved edges to find the perimeter P. Each curve is half of πd. Use 3.14 for π. Dashed lines do not count. Show your work in the box. An answer key is included.

Can I use this semicircles and quarter circles worksheet for homeschool or classroom?

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Yes, both. We made it for 7th grade geometry, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

How do you find the area of a semicircle?

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Find the area of the whole circle with A = πr², then divide by 2. If a diameter is given, halve it to find r first. Area of Semicircles From Diameters practices this and rounds to the nearest hundredth.

How do you find the perimeter of a semicircle?

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Add the curved part, which is half of πd, to the straight side, which is the diameter d. For d = 10 cm, the curve is about 15.7 cm and the perimeter is about 25.7 cm. Perimeter of Semicircles From Diameters sets this up in boxes.

How do you find the area of a quarter circle?

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Find πr² and divide by 4. Area of Quarter Circles in Terms of Pi leaves π in the answer, and Area of Quarter Circles From Radius uses 3.14.

How do you find the area of a composite figure with a semicircle?

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Find the area of the rectangle or triangle and the area of the semicircle, then add them if the curve sticks out or subtract if it is cut out. Composite Figures With Semicircles gives a rectangle, semicircle and total box for each figure.

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Worksheet Details

Grade7th Grade
SubjectMath
TopicGeometry
Standard7.G.B.4
Pages1 page
DifficultyMedium

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