AnswersReading HS- Integrated Math IArc Length and Area of a Sector

Arc Length and Area of a Sector Answers

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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.
3

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.

Question illustration
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.
7

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

Question illustration
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.

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