Area of a Circle and a Sector

Question 1

Which statements are true regarding the area of circles and sectors? Check all that apply.The area of a circle depends on the length of the radius.The area of a sector depends on the ratio of the central angle to the entire circle.The area of a sector depends on pi.The area of the entire circle can be used to find the area of a sector.The area of a sector can be used to find the area of a circle.

Revolt · Accepted Answer

A: The area of a circle depends on the length of the radius.; B: The area of a sector depends on the ratio of the central angle to the entire circle.; D: The area of the entire circle can be used to find the area of a sector.; E: The area of a sector can be used to find the area of a circle.

Question 2

Which statement is true regarding the two shaded sectors of circle O? Explain.

Revolt · Accepted Answer

C: The area of sector AOB is equal to the area of sector DOC because the central angle measures are equal.

Question 3

Approximately how much fabric of each color will be needed to make a single parachute canopy?

Revolt · Accepted Answer

B: 88.5 ft²

Question 4

Timothy built a base for a circular tabletop. The base can support a tabletop with a radius of at least 6 inches, but not more than 23 inches.

Revolt · Accepted Answer

: 117724; : 1,662

Question 5

What is the ratio of the sector area to the area of the entire circle?

Revolt · Accepted Answer

A:

Question 6

If the radius is doubled, what is the effect on the area of sector XYZ?

Revolt · Accepted Answer

D: The sector area will be 4 times greater.

Question 7

What is the sector area created by the hands of a clock with a radius of 9 inches when the time is 4:00?

Revolt · Accepted Answer

C: 27π in.2

Question 8

Which statements are true? Check all that apply.

Revolt · Accepted Answer

A: The central angle measure created by the shaded region is 40°.; C: The ratio of the measure of ∠LOM to the measure of the whole circle is .; D: Circle O can be divided into a total of 9 sectors equal in area to sector LOM.

Question 9

Question 9

Revolt · Accepted Answer

1,662

Question 10

What would make the estimation of the circle’s area more precise?

Revolt · Accepted Answer

What is the approximate circumference of the circle?: 18.8 units; What is the height of the parallelogram?: 3 units; What would be the approximate length of the parallelogram if the base were completely straight?: 9.4 units; : breaking the circle into more sectors; : 28.3 square units

Area of a Circle and a Sector Answers

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