Copyright © by Holt, Rinehart and Winston
Acc. Geometry/Algebra II Name__________________________
Area of Circles and Sector Area Period_______Date_______________
Find each measurement. Give your answers in terms of (.
1.) 2.)
the area of [pic] the area of [pic]
3.) 4.)
the circumference of [pic] the circumference of [pic]
5.) the radius of [pic] in which C ’ 2π2 cm ____________________
6.) the diameter of [pic] in which A ’ (x2 + 2x + 1)π km2 ____________________
Stella wants to cover a tabletop with nickels, dimes, or quarters. She decides to find which coin would cost the least to use.
7.) Stella measures the diameters of a nickel, a dime, and a quarter. They are
21.2 mm, 17.8 mm, and 24.5 mm. Find the areas of the nickel, the dime, and
the quarter. Round to the nearest tenth.
8.) Divide each coin’s value in cents by the coin’s area. Round to the nearest hundredth.
9.) Tell which coin has the least value per unit of area. ____________________
10.) Tell about how many nickels would cover a square tabletop that measures 1 square meter.
Then find the cost of the coins.
Find the area of each sector. Give your answer in terms of ( and
rounded to the nearest hundredth.
11.) 12.)
sector BAC sector QPR
Different animals have different fields of view. Humans can generally see a
180° arc in front of them. Horses can see a 215° arc. A horse and rider are in
heavy fog, so they can see for only 25 yards in any direction. Round your
answers to the nearest square yard.
13.) Find the area of the rider’s field of view. __________________
14.) Find the area of the horse’s field of view. __________________
Complete Exercises 7–9 to find the area of segment KJL.
15.) Find the area of sector KJL.
Give your answer in terms of π. __________________
16.) Find the area of (KJL. __________________
17.) Subtract the area of (KJL from the area
of sector KJL to find the area of segment
KJL. Round to the nearest hundredth. __________________
Answers
Area of Circles and Sector Areas
1.) A ’ 625π m2
2.) A ’ 4a2π in2
3.) C ’ (2x + 2y)π yd
4.) C ’ 1200π mi
5.) r ( ( cm
6.) d ( (2x ( 2) km
7.) 353.0 mm2; 248.8 mm2; 471.4 mm2
8.) 0.01 cent/mm2; 0.04 cent/mm2; 0.05 cent/mm2
9.) the nickel
10.) 2833 nickels; $141.65
11.) 9( mm2; 28.27 mm2
12.) 27( mi2; 84.82 mi2
13.) 982 yd2
14.) 1173 yd2
15.) 25π in2
16.) 50 in2
17.) 28.54 in2
-----------------------
Continued on the back
|Sector of a 楃捲敬܇⁁敳瑣牯漠楣捲敬椠敲楧湯戠畯摮摥戠⁹睴†ଠ慲楤景琠敨挠物汣湡桴楥湩整捲灥整牡名敨愠敲景愠猠捥潴景愠挠物汣獩 |
|朠癩湥戠⁹桴昋牯畭慬ጠ䔠䉍䑅䔠畱瑡潩卄呍‴ᐠᔁܮഇ猍捥潴䉁ൃ匍来敭瑮漠楃捲敬܇⁁敳浧湥⁴景愠挠物汣獩愠爠来潩潢湵敤祢愠牡湡††椋獴挠潨摲ܮഇ猍|
|来敭瑮䄠䍂牡慥漠敳浧湥⁴䉁݃Circle |
|A sector of a circle is a region bounded by two |
|radii of the circle and their intercepted arc. |
|The area of a sector of a circle is given by the |
|formula [pic]. |
sector ABC
|Segment of a Circle |
|A segment of a circle is a region bounded by an arc and |
|its chord. |
segment ABC
|area of segment ABC |’ |area of sector ABC |− |area of ΔABC |
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