Time + circle - practice problems
Number of problems found: 74
- Planetary system
Robert has built a mechanical model solar system with three balls representing planets at the end of rods. Each rod is attached to the center, representing the Sun. The planets are lined up when he turns on the motor. The innermost planet makes a revoluti - The minute
The minute hand of a clock is 6 cm long. Find the area it sweeps between 2:05 PM and 2:40 PM. - Subtended 83194
A circle k with a center at point S and a radius of 6 cm is given. Calculate the size of the central angle subtended by a chord 10 cm long. - Circumscribed 83152
Given is an isosceles triangle whose base is 8 cm, and the sides are 15 cm long. Calculate the area of the triangle and the radius of the inscribed and circumscribed circle.
- Vertex of the rectangle
Determine the coordinates of the vertex of the rectangle inscribed in the circle x²+y² -2x-4y-20=0 if you know that one of its sides lies on the line p: x+2y=0 - 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. - Climbing 82529
Edo signed up for 3 clubs during the holidays. Tennis, archery, and mountain climbing. Each circle lasted 2 hours a day. He lasted 30 days walking on them. How many hours of circles did he complete in total? - 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? - Peripheral 82517
Calculate the peripheral speed of the number on the Wheel of Fortune if the wheel rotates within a period of 0.25 seconds and the number is written 1.5 m from the center of the wheel.
- Length 82244
What path will the tip of the minute hand of length 5 dm cover on the clock in 2 hours? - Circumscribed 81759
In triangle ABC, we know a = 4 cm, b = 6 cm, γ = 60°. Calculate the area and radius of the inscribed and circumscribed circle. - Revolutions 81118
1. A disc makes 15 revolutions per minute. Determine his angular speed and the boy's speed on the seat that describes a circle with a radius of 5 m. 2. The grinding wheel rotates at 600 revolutions per minute. Determine the period and angular velocity. Th - Circle's 81078
The chord of a circle is 233 long, and the length of the circular arc above the chord is 235. What is the circle's radius, and what is the central angle of the circular arc? - Magnitudes 80788
The minute hand is three times longer than the second hand. In what ratio are the magnitudes of the velocities of their endpoints?
- Hypotenuse 78844
Construct triangle KLM if side m=6.5cm, hypotenuse tm=4cm, height to side m: vm=3.2cm - A Ferris wheel
A Ferris wheel with a diameter of 100 feet makes five revolutions every 8 minutes. The base of the wheel is 4 feet above the ground. Your friend gets on at 3 PM sharp. a) Write an equation to express the height in feet of your friend at any given time in - Perpendicular 70824
One perpendicular to the ABC right triangle has a length a = 14 cm, and a radius of the circle inscribed in this triangle r = 5 cm. Find the size of the diaphragm and its second perpendicular. - Coincide 69334
In how many minutes after the second hour do the clock hands coincide? - Hypotenuse 65744
Construct a right triangle ABC with the hypotenuse AB: a) | AB | = 72 mm, | BC | = 51 mm b) | AB | = 58 mm, | AC | = 42 mm
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