Circumference
Area
Algebra
Word Problems
Arc Length and Sector Area
100
What are the 2 formulas used to calculate circumference?
C = 2 * pi * r
and
C = pi * d
100
What is the area formula for circles?
A = pi * r2
100
A = 9pi
What is the diameter?
6
100
You have your dog tied outside on a leash anchored to the ground. The leash is 11 feet long. To the nearest whole number, how much space does your dog have to play?
380 ft2
100
The total area of the circle is 120 units2. What is the sector area of 1 piece?
10 units2
200
The radius of a circle is 8 cm. What is the exact circumference?
16pi cm
200
What is the exact area of circle with radius of 3 cm?
9 pi cm2
200
C = 9pi
What is the radius?
4.5
200
You and a friend are sharing a 14 inch (that's the diameter) pizza. To the nearest whole number, how much crust do you get to eat?
22 inches
200
The total circumference of the circle is 120pi units. What is the arc length of 1 piece?
20pi units
300
The diameter of a circle is 11 ft. What is the circumference rounded to 2 decimal places?
34.56 ft
300
What is the area of a circle with radius of 15 cm, rounded to 2 decimal places?
706.86 cm2
300
C = 31.4159
What is the area rounded to the nearest whole number?
79
300
Your bike tire has a circumference of 2 meters. The warranty for the tires is 1000 kilometers. How many rotations will your tire make for it's warranty?
500,000 rotations/revolutions
300
What is the arc length from A to B?
3pi or about 9.42 units
400
The radius of a circle is 1.7 in. What is the circumference rounded to 3 decimal places?
10.681
400
What is the area of a circle with diameter of 17 in., rounded to 2 decimal places?
226.98 in2
400
A = 16pi
What is the circumference as an exact answer?
8pi
400
You are painting the bottom of a circular fountain that has a diameter of 80 feet. A gallon of paint covers 300 ft2.
How many gallons do you need to buy?
At least 17 gallons
400
What is the sector area of the piece shown?
81pi/6 or about 42.41 units2
500
According to the picture, what's the circumference of the Earth?
25,000 miles
500
What's the area of the shaded region?
32 pi units2 or about 100.5 units2
500
C = 2pi
What is the area as an exact answer?
pi
500
A circular lake has a radius of 0.75 miles. You run around the lake once. Your sister runs around the lake 2.5 times. How much farther does your sister run, rounded to the nearest mile?
7 miles
500
The sector area of 1 piece is 10 ft2. What is the radius of the circle, rounded to 2 decimal places?
3.99 ft