Area of Circles and Sectors and Segments

Area of Circles and Sectors and Segments

By Deb Scott

Area of Circles

Multiple Choice

What is the area of this circle?

• 82.13 m²
• 78.50 m²
• 314.16 m²
• 170.12 m²

Multiple Choice

Madalyn's dining room table is round and has a radius of 4.5 feet. What is the tabletop's area?

• 63.585 ft²

• 68.345 ft²

• 64.585 ft²

• 61.345 ft²

Area of a sector

Multiple Choice

Find the area of the sector outlined in bold.

• 52.4 in²

• 18,864 in²

• 60 in²

• 10.47 in

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.

• 1 sq. ft
• 13 sq. ft
• 3 sq. ft
• 26 sq. ft

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.

• 9.2 sq. in.
• 10.5 sq. in.
• 31.4 sq. in.
• 38.2 sq. in.

Multiple Choice

What is the formula for finding the area of a sector. 

• $$\left(\frac{n}{360}\right)\pi r^2$$

• $$2\pi r$$

• $$\pi r^2$$

Area of sector = (pi) (r^2) (n/360) <subtract>​
Area of triangle = (1/2) (r^2) (sin (degrees)) <equals>
Area of segment

Multiple Choice

What is the name of the blue region?

• A sector

• A segment

• A hooly bob

• A central angle

Fill in the Blanks

Multiple Choice

What is the area of the shaded segment?

• 185.0619

• 88.9359

• 39.3078

• 5.7975

Multiple Choice

What is the area of this circle?

• 4π

• 8π

• 16π

• π

Multiple Choice

Find the area of the shaded sector?

• 14 cm squared

• 139.6 cm squared

• 27.9 cm squared

• 558.5 ft squared

Multiple Select

What is/are the formula(s) to find the area of a circle?

• πr²

• 2πr

• √π

Multiple Choice

What is the area of the shaded segment? Leave your answer as an exact value.

• 25π - 50

• 25π - 100

• 5π - 50

• 5π - 100

Multiple Choice

what is the area of this semicircle ?

• 100.48cm²

• 80cm²

• 200.96cm²

• 25.12cm²

Multiple Select

If Pacman's mouth, when open, is 70° and the radius of his mouth is 8mm, what is the exact area of the rest of Pacman's body?

• (464/9)π mm²

• (112/9)π mm²

• (116/9)π mm²

• (28/9)π mm²

Multiple Select

is the formula for?

• arc length

• area of a sector

• area of a segment

• arc measure

Multiple Choice

Strategy to find the area of the shaded purple segment...

• get the area of the circle and subtract out the sector

• get the area of the sector and subtract out the triangle

• get the area of the triangle and subtract the segment

• press skip and simply move on...