Practice problems of the circle - page 12 of 47
A circle is a geometric shape that consists of all points that are a fixed distance, called the radius, away from a central point called the center. The distance around the circle is called the circumference and the region enclosed by the circle is called the area of the circle. The formula for the circumference of a circle is C = 2πr, where C is the circumference, r is the radius, and π is a mathematical constant, the Ludolph number, approximately equal to 3.1415926.The formula for the area of a circle is A = πr2, where A is the area and r is the radius.
The diameter of a circle is a line segment that passes through the center of the circle and has its endpoints on the circle. It is the longest distance across the circle and is also twice the length of the radius. The formula for the diameter of a circle is d = 2 * r, where d is the diameter and r is the radius. The diameter of a circle is an important measurement in geometry and is used in many mathematical formulas, such as the formula for the circumference of a circle (C = πd)
Number of problems found: 938
- The circle
If the radius of a circle is 3+root3, what is the area? - Isosceles IV
In an isosceles triangle ABC is |AC| = |BC| = 13 and |AB| = 10. Calculate the radius of the inscribed (r) and described (R) circle. - Thales
Calculate the length of the Thales' circle described to the right triangle with hypotenuse 44.2 cm. - RT and circles
Solve the right triangle if the radius of the inscribed circle is r=9 and the radius of the circumscribed circle is R=23. - On a
On a someday, the Sun, Venus, and the Earth are in eclipse, i. E. Venus is 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? - Hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 90°? Consider the continuous movement of both hands for hours. - Clock hands
The hands-on clock shows the time of 12 hours and 2 minutes. Calculate the size of an acute angle between clock hands three hours later. - Clocks
How long will a path of the end of the clock's minute-hand long 7 cm for 330 minutes? How long will we walk at the same time hour-hand? - 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? - Seagull
An artificially created island in the shape of a circle with a radius of 50 m is overgrown with grass. The only exception is a landing area for helicopters in the shape of a rectangle measuring 15 m and 8 m. What is the probability that the flying seagull - Coin
How many 20-cent coins must be put in a row that the next 20-cent coins after them (above) rolled on its axis? - 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? - Merly
Merly prepared the table for lunch. She put a place mat that measures 5 dm long and 3 dm wide; she placed a plate on it with a diameter of 3 dm. How many mats can be seen on the table? - 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? - Rectangular 4959
In the workshop, they cut 50 circles with a diameter of 9 cm from a rectangular sheet with dimensions of 50 cm and 100 cm. What percentage of the sheet was a waste? - 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 - Coincide 69334
In how many minutes after the second hour do the clock hands coincide? - 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?
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