Area of a Circle and a Sector Assignment

1.

Open Ended

30 sec

1 pt

Which statements are true regarding the area of circles and sectors? Check all that apply.

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Answer explanation

a. The area of a circle depends on the length of the radius. b. 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.

2.

Open Ended

30 sec

1 pt

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

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Answer explanation

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

3.

Open Ended

30 sec

1 pt

The canopy of a parachute is a semicircle with a radius of 13 feet. A company that is making parachutes for a Fourth of July celebration wants each parachute to be made from equal parts of red, white, and blue fabric. Approximately how much fabric of each color will be needed to make a single parachute canopy?

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Answer explanation

b. 88.5 ft²

4.

Open Ended

30 sec

1 pt

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. ---- 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. ----

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Answer explanation

113 square inches 1,662 square inches

5.

Open Ended

30 sec

1 pt

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

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Answer explanation

a. 1/5

6.

Open Ended

30 sec

1 pt

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

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Answer explanation

d. The sector area will be 4 times greater.

7.

Open Ended

30 sec

1 pt

What is the approximate circumference of the circle? What is the height of the parallelogram? What would be the approximate length of the parallelogram if the base were completely straight? What would make the estimation of the circle's area more precise? What is the area of the circle used to create the parallelogram-like shape to the nearest tenth of a square unit?

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Answer explanation

18.8 units 3 units 9.4 units breaking the circle into more sectors 28.3 square units

8.

Open Ended

30 sec

1 pt

Use the diagram to answer the questions. What is the area of the circle in terms of pi? π units² What is the measure of the central angle of the shaded sector? ° What is the area of the shaded sector rounded to the nearest whole number? units²

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Answer explanation

121 143 151

9.

Open Ended

30 sec

1 pt

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

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Answer explanation

c. 27π in.^2

10.

Open Ended

30 sec

1 pt

Arc LM on circle O has a measure of 40°. Which statements are true? Check all that apply.

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Answer explanation

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 1/9 . d. Circle O can be divided into a total of 9 sectors equal in area to sector LOM.

11.

Open Ended

30 sec

1 pt

The radius of circle C is 6 units and the measure of central angle ACB is radians. What is the approximate area of the entire circle? square units What is the approximate area of the entire sector created by central angle ACB? square units What is the approximate area of the shaded region only? square units

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Answer explanation

113 28 22

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