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Grade 7 - Shape and Space
Standard 7.SS.1 - Practice calculating the perimeter and radius of a circle based on the dimensions of a quarter circle.
Demonstrate an understanding of circles by • describing the relationships among radius, diameter, and circumference of circles • relating circumference to pi (π) • determining the sum of the central angles • constructing circles with a given radius or diameter • solving problems involving the radii, diameters, and circumferences of circles
• Illustrate and explain that the diameter is twice the radius in a circle. • Illustrate and explain that the circumference is approximately three times the diameter in a circle. • Explain that, for all circles, pi (π) is the ratio of the circumference to the diameter (c/d), and its value is approximately 3.14. • Explain, using an illustration, that the sum of the central angles of a circle is 360°. • Draw a circle with a given radius or diameter with or without a compass. • Solve a contextual problem involving circles.