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

Question 3

Revolt · Accepted Answer

209150

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. What is the smallest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch. square inches What is the largest possible area of the tabletop that will fit on Timothy’s table base? Round the answer to the nearest whole square inch. square inches

Revolt · Accepted Answer

Part 1: 113; Part 2: 1,662

Question 5

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

Revolt · Accepted Answer

A: One-fifth

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

Question 7

Revolt · Accepted Answer

C: 121

Question 8

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 9

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 10

Question 10

Revolt · Accepted Answer

D: 113

Area of a Circle and a Sector Answers

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