Exploring Area of Circles and Sectors

Mrs. Kensic introduces the lesson on areas of circles and sectors, guiding students to prepare by printing or copying notes. She explains the formula for the area of a circle and demonstrates it with examples, including a real-world pizza problem. The lesson progresses to the area of a sector, using a similar approach with examples. The session concludes with a word problem, reinforcing the concepts taught.

What is the formula for the area of a circle?

• 2 * pi * radius

• pi * radius squared

• radius * diameter

• pi * diameter squared

Tags

CCSS.7.G.B.4

If a circle has a radius of 7 meters, what is its area in terms of pi?

• 21 pi meters squared

• 14 pi meters squared

• 28 pi meters squared

• 49 pi meters squared

Tags

CCSS.7.G.B.4

Which pizza provides more area, one with a 12-inch diameter or one with a 10-inch diameter?

• Cannot be determined

• Both are the same

• 10-inch

• 12-inch

Tags

CCSS.7.G.B.4

How much more area in square inches does the 12-inch pizza have over the 10-inch pizza?

• 54 square inches

• 44 square inches

• 34 square inches

• 24 square inches

What is the area formula for a sector of a circle?

• (Arc degree / 360) * pi * radius squared

• pi * radius squared

• (Arc degree / 180) * pi * radius squared

• 2 * pi * radius * (Arc degree / 360)

Tags

CCSS.HSG.C.B.5

For a sector with a 72-degree arc and a radius of 20 cm, what is the area?

• 120 pi cm squared

• 40 pi cm squared

• 160 pi cm squared

• 80 pi cm squared

Tags

CCSS.HSG.C.B.5

If the non-shaded region of a circle sector is 110 degrees, what is the degree measure of the shaded region?

• 150 degrees

• 250 degrees

• 110 degrees

• 360 degrees

Tags

CCSS.4.MD.C.5B

CCSS.HSG.CO.A.1

What is the area of a sector with a 250-degree arc and a radius of 14 meters?

• 175 pi meters squared

• 136.111 pi meters squared

• 150 pi meters squared

• 125 pi meters squared

Tags

CCSS.HSG.C.B.5

For a circle with a diameter of 20 cm, what is the radius?

• 5 cm

• 20 cm

• 10 cm

• 40 cm

Tags

CCSS.7.G.B.4

What is the area of the minor arc sector if the major arc's non-shaded area is 208 degrees?

• 42.222 cm squared

• 62.222 cm squared

• 52.222 cm squared

• 32.222 cm squared

Tags

CCSS.HSG.C.B.5