Arc Length & Sector Area Reteach

Presentation

•

Mathematics

•

9th - 12th Grade

•

Medium

•

CCSS

HSG.C.B.5, 7.G.B.4

Standards-aligned

Andrew Schmitt

Used 9+ times

FREE Resource

5 Slides • 15 Questions

Arc Length & Sector Area

By Andrew Schmitt

Radius: Line segment from the center to the edge of the circle.

Diameter: Line segment from edge to edge, through the center of the circle.

Circumference: Distance (length) around the perimeter of the circle.

Area: The space contained by the edge of the shape.

Circle Vocab

Multiple Choice

The distance from the center of the circle to any point on the circle is called the...

radius

diameter

area

circumference

arc length

Multiple Choice

If the radius of a circle is 8 cm, the diameter is...

$16\ cm$

$64\pi\ cm^2$

$16\pi\ cm$

$4\ cm$

None of the above

Multiple Choice

Find the radius of a circle whose diameter is 40 ft.

40ft

80ft

20ft

45ft

Multiple Select

Select all segments that are a radius of Circle A.

Multiple Choice

Daniel wants to buy cookies for her friend. The diameter of a cookie is 10 inches. What is the cookie’s circumference?

10 in

2.5 in

15.7 in

31.4 in

Multiple Choice

Ms. Catall is using a compass to find her way out of the woods. The compass has a radius of 4 centimeters. What is the compass's area?

49.2 cm²

45.6 cm²

50.24 cm²

55.9 cm²

Arc Measure: The degree measure of a given arc.

Arc Length: The length around the circumference of a given arc.

Sector Area: The area of a given section of the circle.

Circle Concepts

Multiple Choice

Find the length of the bold arc. Leave pi in your answer.

5688π ft

15.8π ft

150.4π ft

54,150 ft

Multiple Choice

Find the arc length of the bolded arc.

Multiple Choice

Find the arc length of the bolded arc. Give your answer in terms of π.

(65/12)π cm

17.02 cm

(845/24)π cm

26π cm

Multiple Choice

Alison is jogging on a circular track that has a radius of 140 feet. She runs along the track from point R to point N, a distance of 230 feet. Find to the nearest degree, the measure of minor arc RN.

123

Multiple Choice

Find the area of the shaded sector of circle O. The radius is 6 inches and the central angle is 100°. Express answer to the nearest tenth of a square inch.

25.2 in²

28.5 in²

31.4 in²

38.2 in²

Multiple Choice

What is the area of the shaded SECTOR? Round to the nearest hundredth.

9.42 u²

113.10 u²

284.3 u²

452.39 u²

Multiple Choice

Stephanie is cutting a pie. Stephanie's mother wants one fourth of the pie. The diameter is 20 cm. What is the sector area of the pie her mother does not want?

235.62 cm squared

three fourths of the pie

78.54 cm squared

83.99 cm squared

Multiple Choice

Find the exact area of the shaded space.
Think: What does exact mean?

36π units squared

144π/3 units squared

157.82 units squared

10. 92 units squared

Multiple Choice

A cathedral window is built in the shape of a semicircle. If the window is to contain three stained glass sections of equal size, what is the area of each stained glass section? Express answer to the nearest square foot. HINT: How many degrees in a semicircle? What's the radius?

1 sq. ft

13 sq. ft

3 sq. ft

26 sq. ft

Arc Length & Sector Area

By Andrew Schmitt

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