Construct Regular Polygons

Question 1

The ratio of the diameters of two circles is y:z. What is the scale factor of the circles?

Revolt · Accepted Answer

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Question 2

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.

Question 3

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

Revolt · Accepted Answer

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Question 4

Horatio drew a circle with a radius of 6x cm. Kelli drew a circle with a radius of 18y cm. What is the scale factor between these two circles?

Revolt · Accepted Answer

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Question 5

Which of the following explains why all circles are similar?

Revolt · Accepted Answer

All circles have the same shape but different radii.

Question 6

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

Revolt · Accepted Answer

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Question 7

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?

Revolt · Accepted Answer

The diameter in the first step of the constructions divides each shape in half.

Question 8

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 9

The ratio of the radii of two circles is 4:5. What is the ratio of the circumferences of the two circles?

Revolt · Accepted Answer

4:5

Question 10

The circumferences of two circles are in the ratio of 2:5. The radius of the smaller circle is 16 in. What is the radius of the larger circle?

Revolt · Accepted Answer

40 in.

Construct Regular Polygons Answers

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