Arc Length and Area of a Sector

Question 1

Anne is planning a hike in France. Her map states that the mountain peak is located at radians north-northeast from the lookout point, but her compass only uses degrees. Find the peak’s location in degrees. A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 2

Analyze the diagram below and complete the instructions that follow. and are similar. Find the length of . A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 3

Analyze the diagram below and complete the instructions that follow. If C is the center of the circle, find . A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

B

Question 4

Analyze the diagram below and complete the instructions that follow. The green area in the figure above represents a section of grass for a putting green. Find the area of the sector of grass. A. A = 3 ft2 B. A = 6 ft2 C. A = 36 ft2 D. A = 72 ft2 Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 5

The ecology class would like to create a circular vegetable garden to grow various organic fruits and vegetables. One sector of the garden will need a special type of soil for growing blueberries. The students would like to put a rock barrier between the blueberries and other vegetables to designate the area. The area of the sector of blueberries is 24 ft2, and the central angle is . Find the length of the rock barrier (i.e., the radius of the circle). A. r = 2 ft B. r = 8.48 ft C. r = 12 ft D. r = 144 ft Please select the best answer from the choices provided

Revolt · Accepted Answer

C

Question 6

Analyze the diagram below and complete the instructions that follow. C is the center of the circle. Find the area of the segment shown in the figure. A. u2 B. u2 C. u2 D. u2 Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 7

Analyze the diagram below and complete the instructions that follow. C is the center of the circle. Find the length of . Round answer to two decimal places. A. 6.84 B. 1.71 C. 2.18 D. 13.68 Please select the best answer from the choices provided

Revolt · Accepted Answer

A

Question 8

Analyze the diagram below and complete the instructions that follow. C is the center of the circle. Find the length of . Leave the answer in terms of . A. B. C. D. Please select the best answer from the choices provided

Revolt · Accepted Answer

D

Question 9

How are the units of measurement called “radians” related to the radius of a circle?

Revolt · Accepted Answer

Responses may vary but should include some or all of the following information:A radian is a unit of measurement that measures the central angle of a circle. A central angle measuring one radian intercepts or forms an arc whose length is equal to the radius of the circle.

Arc Length and Area of a Sector Answers

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