Circle + angle - practice problems
Number of problems found: 217
- At 5:16
At 5:16, what is the acute angle between a minute hand and an hour hand?
- Hands of a clock
At what time between 11 and 12 O'clock will the hands of a clock be at an angle of 180°?
- Angle over circle
In the figure, O is the center of the circle and AB is tangent at B. If angle OAB is 28 degrees find angle AOB. Figure is not scaled.
- Central angle 2
What is the arc length of a circle with a radius of 12 cm and a central angle of 255 degrees? A. 8.5 cm B. 12π cm C. 24π cm D. 17π cm
- Two wipers
What A car has two wipers which do not overlap. Each wiper has a blade of length 21 cm, sweeping through an angle of 120°. Find the total area cleaned at each sweep of the blades.
- Circle graph
Erica surveyed students at her school about their favorite type of music. She made a circle graph to show the results. The central angle for the section of the graph that represents country music measures 72°. If 45 classmates chose the country as their f
- On a
Someday, the Sun, Venus, and the Earth will be in eclipse, i.e., Venus will be between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again?
- Clock hands
The hands-on clock shows the time as 12 hours and 2 minutes. Three hours later, calculate the size of an acute angle between the clock hands.
- Clock's hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 50°? Consider the continuous movement of both hands for hours.
- Rail turn
The curve radius on the railway line is 532 m. The length of the rail track on it is 818 m. How many degrees is the angle ASB if A and B are boundary points and S is the center of the arc curve?
- Coin
How many 20-cent coins must be put in a row so that the next 20-cent coins after them (above) are rolled on its axis?
- Describes 82518
The minute hand describes an angle of 180 degrees in half an hour. In how many minutes does the minute hand cover an angle of 192 degrees?
- Merry-go-round 82611
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes.
- Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 decimal places.
- Minute-hand
How long will a large (minute) hand travel on the clock for 48 minutes if its length is 56 cm?
- Coal mine
The towing wheel has a diameter of 1.7 meters. How many meters does the elevator cage lower when the wheel turns 32 times?
- Minutes 6071
What is the angle of the big hand of the watch in 20 minutes?
- O'clock 66554
What is the angle of the hour and minute hands on the clock of the old tower if it is exactly eight o'clock?
- Hands coincide
In how many minutes after the second hour do the clock hands coincide?
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