Arc Length and Area of a Sector Answers

A neighborhood park is circular in shape. One sector of the park needs repairing, so officials would like to block off that portion with barricades. The area of the sector is 45 yd2, and . Find the length of one side of the barricades (i.e., the radius of the circle). A. r = 6.71 yd B. r = 15 yd C. r = 30 yd D. r = 45 yd Please select the best answer from the choices provided

What is the relationship between the arc length and the radius of a circle when the central angle is defined in radians? A. The length of the arc intercepted by the central angle is equal to the radius of the circle. B. The length of the arc intercepted by the central angle is proportional to the radius of the circle. C. The length of the arc intercepted by the central angle is equal to the square root of the radius of the circle. D. The length of the arc intercepted by the central angle is not related to the radius of the circle. Please select the best answer from the choices provided

Two central angles are listed below. Column A 1.38 radians Column B Compare the central angle in column A to that in column B. A. Column A is larger than column B. B. Column B is larger than column A. C. Column A is equal to column B. D. The two columns cannot be compared because the units are different. Please select the best answer from the choices provided

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

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

Analyze the diagram below and complete the instructions that follow. C is the center of the circle. Find the length of . A. 23.55 B. 47.10 C. 70.65 D. 141.30 Please select the best answer from the choices provided

Analyze the figure below and answer the question that follows. A student determined that the area of the segment of shown above is Asegment = 137.71 ft2. The student's work is shown below. Evaluate the student’s answer.Asector = 75.36 ft2 Atriangle = 62.35 ft2 Asegment = Asector + Atriangle Asegment = 137.71 ft2 A. The student’s answer is correct. B. The student did not calculate the area of the sector correctly. C. The student did not calculate the area of the triangle correctly. D. The student did not use the correct formula to calculate the area of the segment. Please select the best answer from the choices provided

A pizza 16 inches in diameter is cut into 8 congruent slices. Find the area of the sector of one piece of pizza. A. 25.12 in.² B. 31.40 in.² C. 50.24 in.² D. 200.96 in.² Please select the best answer from the choices provided

Analyze the diagram below and complete the instructions that follow. and are similar. Find the value of x. A. 5 B. 15 C. 60 D. 240 Please select the best answer from the choices provided

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