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Illustrative Math
Grade 7
Let’s find the areas of shapes made up of circles.
Illustrative Math Unit 7.3, Lesson 9 (printable worksheets)
The following diagram shows how to relate the area of a circle and its circumference and find the formula for area of a circle.
The area of this field is about 500,000 m2. What is the field’s area to the nearest square meter? Assume that the side lengths of the square are exactly 800 m.
A. 502,400 m2
B. 502,640 m2
C. 502,655 m2
D. 502,656 m2
E. 502,857 m2
Which figure has a longer perimeter, Figure D or Figure E? How much longer?
Perimeter of figure D = 2π + 6
Perimeter of figure E = 1 1/2 π + 4
Figure D is longer by 1/2 π + 2
The field inside a running track is made up of a rectangle 84.39 m long and 73 m wide, together with a half-circle at each end. The running lanes are 9.76 m wide all the way around.
What is the area of the running track that goes around the field? Explain or show your reasoning.
The Open Up Resources math curriculum is free to download from the Open Up Resources website and is also available from Illustrative Mathematics.
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Add and subtract fractions to make exciting fraction concoctions following a recipe. There are four levels of difficulty: Easy, medium, hard and insane. Practice the basics of fraction addition and subtraction or challenge yourself with the insane level.
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