Introduction to Circles

Question 1

Which of the following statements is true?

Revolt · Accepted Answer

A tangent is never a secant.

Question 2

Analyze the diagram below and answer the question that follows.In the circles above, . is the midpoint of , is the midpoint of , is the midpoint of , and is the midpoint of . Which of the shaded regions has a larger area?

Revolt · Accepted Answer

The areas of the two shaded regions are equal.

Question 3

Analyze the diagram below and complete the instructions that follow. Analyze the diagram below and complete the instructions that follow. Name one radius in . A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 4

Analyze the diagram below and answer the question that follows.A square grassy field is watered by 4 sprinklers. The sprinklers spray water in a circular pattern, as shown above. If the field has side lengths of 60 ft, what is the area of the portion of the field that will not be watered by the sprinklers?

Revolt · Accepted Answer

(3,600 – 900) ft²

Question 5

Analyze the diagram below and complete the instructions that follow.The circumference of each of the smaller circles is . Find the area of the shaded region. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 6

Analyze the diagram below and complete the instructions that follow. Photo by BoboA car travels around a circular track. The inside wheels follow along the line of the inner circle, and the outer wheels follow along the line of the larger circle. The radius of the larger circle is 25 ft, and the radius of the smaller circle is 21 ft. Determine how much farther the outer wheels would travel than the inner wheels after one revolution. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 7

A tire on Sal's car makes 13 revolutions per second while traveling down the freeway. Sal's tires are 2 ft in diameter, and there are 5,280 feet in 1 mile. How far does Sal drive in 1 hour? Round the answer to the nearest mile.

Revolt · Accepted Answer

56 miles

Question 8

The area of is ft². Find the circumference of .

Revolt · Accepted Answer

ft

Question 9

There is a constant ratio between corresponding sides of similar figures. Since circles don't have sides, what ratio(s) could you use to prove that all circles are similar?

Revolt · Accepted Answer

You could compare the ratios of their radii or the ratios of their diameters. For any two circles, all corresponding radii have the same ratio, and all corresponding diameters have the same ratio, which shows the circles are similar.

Question 10

Can a chord also be classified as a radius? Explain your answer.

Revolt · Accepted Answer

No. A chord has both endpoints on the circle, while a radius has one endpoint at the center and the other on the circle. So a segment cannot be both a chord and a radius.

Introduction to Circles Answers

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