Solve the missing elements for each problem. use 3.14 for ~ | | . 1 ) s r t q radius: ______________ diameter: ______________ 4
inches circumference: ______________ area: ______________ 2 ) c b d a radius: ______________ diameter: ______________ 10 ft circumference: ______________ area: ______________ 3 ) r q s p radius: ______________ 18 yards diameter: ______________ circumference: ______________ area: ______________ 4 ) p o q n radius: ______________ diameter: ______________ 16 cm circumference: ______________ area: ______________ 5 ) e d f c radius: ______________ 19 mm diameter: ______________ circumference: ______________ area: ______________ 6 ) d c e b radius: ______________ 12 inches diameter: ______________ circumference: ______________ area: ______________ 7 ) j h k g radius: ______________ diameter: ______________ 28 ft circumference: ______________ area: ______________ 8 ) n m o l radius: ______________ 6 yards diameter: ______________ circumference: ______________ area: ______________ 9 ) h g j f radius: ______________ diameter: ______________ 18 cm circumference: ______________ area: ______________
We know that diameter=radius*2 radius=diameter/2 area of circle=pi*r² length of circumference=2*pi*r so
Part 1) <span>4 inches circumference </span>4=2*pi*r--------> r=4/(2*pi)-----> r=2/pi-----> r=0.64 in diameter=2*0.64-----> 1.28 in area=pi*0.64²------> 1.29 in²
the answers Part 1) are a) radius=0.64 in b) diameter=1.28 in c) area=1.29 in²
Part 2) <span>10 ft circumference 10=2*pi*r-----> r=10/(2*pi)----> r=5/pi-----> 1.59 ft diameter=2*1.59------> 3.18 ft area=pi*1.59</span>²-----> 7.94 ft²
the answers Part 2) are a) radius=1.59 ft b) diameter=3.18 ft c) area=7.94 ft²
the answers part 3) are radius=9 yd circumference=56.52 yd area=254.34 yd²
Part 4) <span>16 cm circumference </span>16=2*pi*r-----> r=16/(2*pi)----> r=8/pi-----> 2.55 cm diameter=2*2.55------> 5.10 cm area=pi*2.55²-----> 20.42 cm²
the answers Part 4) are a) radius=2.55 cm b) diameter=5.10 cm c) area=20.42 cm²
Part 5) <span>19 mm diameter </span>radius=19/2-----> 9.5 mm circumference=2*pi*9.5-----> 59.66 mm area=pi*9.5²-----> 283.39 mm²
the answers part 5) are radius=9.5 mm circumference=59.66 mm area=283.39 mm²
Part 6) <span>12 inches diameter </span>radius=12/2-----> 6 in circumference=2*pi*6-----> 37.68 in area=pi*6²-----> 113.04 in²
the answers part 6) are radius=6 in circumference=37.68 in area=113.04 in²
Part 7) <span>28 ft circumference </span>28=2*pi*r-----> r=28/(2*pi)----> r=14/pi-----> 4.46 ft diameter=2*4.46------> 8.92 ft area=pi*4.46²-----> 62.46 ft²
the answers Part 7) are a) radius=4.46 ft b) diameter=8.92 ft c) area=62.46 ft² <span> Part 8) </span><span>6 yards diameter </span>radius=6/2-----> 3 yd circumference=2*pi*3-----> 18.84 yd area=pi*3²-----> 28.26 yd²
the answers part 8) are radius=3 yd circumference=18.84 yd area=28.26 yd²
Part 9) <span>18 cm circumference </span>18=2*pi*r-----> r=18/(2*pi)----> r=9/pi-----> 2.87 cm diameter=2*2.87------> 5.74 cm area=pi*2.87²-----> 25.86 cm²
the answers Part 9) are a) radius=2.87 cm b) diameter=5.74 cm <span>c) area=25.86 cm</span>²<span>
