Construct Regular Polygons

Question 1

Which of the following is a step used to inscribe a square in a circle?

Revolt · Accepted Answer

Construct an arc by placing the point of the compass on an endpoint of the diameter and the pencil on the center of the circle.

Question 2

One circle has a circumference of cm. Another circle has a circumference of cm. What is the ratio of the radius of the smaller circle to the radius of the larger circle?

Revolt · Accepted Answer

3:8

Question 3

Which of the following is true of the constructions of an equilateral triangle, a square, and a regular hexagon when they are inscribed in circles?

Question 4

If the scale factor between two circles is what is the ratio of their areas?

Revolt · Accepted Answer

mc019-3.jpg

Question 5

What is the first step when inscribing a square, equilateral triangle, or hexagon in a circle?

Revolt · Accepted Answer

Draw a circle around a diameter.

Question 6

The ratio of the diameters of two circles is 3:5. The circumference of the larger circle is approximately 113.1 m. What is the approximate circumference of the smaller circle?

Revolt · Accepted Answer

67.9 m

Question 7

Soni inscribed a hexagon in a circle. At exactly how many points do the hexagon and circle intersect?

Revolt · Accepted Answer

6

Question 8

Which of the following shows an equilateral triangle inscribed in a circle?

Question 9

Which of the following explains why all circles are similar?

Revolt · Accepted Answer

All circles have the same shape but different radii.

Question 10

Which step do the constructions of a regular hexagon, a square, and an equilateral triangle inscribed in a circle all have in common?

Revolt · Accepted Answer

Construct an arc using an endpoint of the diameter and the center of the circle.

Construct Regular Polygons Answers

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