Practice problems of the circle - page 5 of 48
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: 948
- Intersections
How many intersections have circles with radius 16 mm and 15 mm if the distance of their centers is 16 mm? - Circumference 26251
Calculate the circumference of a pizza with a diameter of 62 cm. How big is the plate on which it is placed when it covers it? - Percentage 16423
The pizza has the shape of a circle and is divided into eight equal parts. My mother ate three parts. What percentage of pizza is left? - Baking a cake
Christy is baking a cake that has a 9-inch diameter. She wants to cover the top of the cake with buttercream icing. How much icing will she need?
- Rewrite
Rewrite the following as a division statement if there are eight cakes and each person gets 1/12 of a cake, how many people get cake? - Velocipede
The front wheel of the velocipede from the year 1880 had a diameter 1.8 m. Suppose the front wheel is turned again once, then the rear wheel six times. What was the diameter of the rear wheel? - Wire D
Wire length 1 m is bent to form a semicircle circuit (including the diameter). Determine the radius of the semicircle. - Attended 63784
The math circle is attended by h = 10 boys and k = 5 girls. a) How many students go to the ring? b) How many students are in the ring if five girls and three boys are missing - Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration!
- Calculate 7743
The wire is wound into several turns. The thickness of 10 threads is 1 cm. Calculate the wire thickness. - Calculate 3167
The area of the two circles is in a 4: 9 ratio. The larger circle has a diameter of 12 cm. Calculate the radius of the smaller circle. - Silo
The outer perimeter of the silo is 32 m. The concrete wall is 35 cm thick. What is the diameter and area of the inside floor of the silo? - Two gears
The two gears fit together. The larger gear has 32 teeth. The smaller gear has 20 teeth fewer. How many times does turn a smaller gear if the bigger gear turns three times? - Direction 83124
The mining tower's wheel has a diameter of 150 cm. If the wheel turns in the same direction seventy times, how many m will the elevator cage descend?
- Calculate 45931
Calculate the area of a circle with a radius of 72.9 cm. Specify it in cm2, and enter only a numeric value in response. - Calculate 12061
The area of the two circles is in a 4:9 ratio. The larger circle has a diameter of 18 cm. Calculate the radius of the smaller circle. - Four-ninths 5693
Pupils at school choose a circle. A third of them chose athletics, four-ninths of the pupils chose ceramics, and the remaining 12 pupils chose floorball. How many pupils are there in the school? How many signed up for individual circles? - The spinner
The spinner below is spun 12 times. It landed on I 4 times, II 7 times, and III 1 time. What is the difference between the experimental and theoretical probabilities of landing on the II? - Round table
The round table has a diameter of 78 cm. A tablecloth should be sewn on it, extending around the table by 10 cm. How many centimeters of ribbons need to be bought for edging?
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