Circle practice problems - page 23 of 49
Number of problems found: 972
- Determine 19953
The distance between the tip of the minute hand and the center of the dial is 12 mm. Determine the distance traveled by the tip in 45 min. (draw a clock face and a minute hand and realize the distance it will cover in 45 min.)
- Calculate 5391
Viktor shot darts into a circular target with a radius of 5 cm. Inside the circle is a smaller circle with a radius of 2 cm. Calculate Viktor's chance of hitting a smaller circle in percent.
- Circle 7794
Draw a circle k, r = 4cm, and divide it into two parts in a ratio of 1:5.
- Clock
How long is the trajectory of the second hand of hours for day, if it is 15 mm long?
- The amphitheater
The amphitheater has the shape of a semicircle, the spectators sit on the perimeter of the semicircle, and the stage forms the diameter of the semicircle. Which spectators, P, Q, R, S, and T, see the stage at the greatest viewing angle?
- Tangents construct
The circle k is given k (S; 2.5 cm) and an outer line p. Construct a tangent t of the circle that has a line p angle 60°. How many solutions have the task?
- Described circle to rectangle
The rectangle with 6 cm and 4 cm sides was a circumscribed circle. What part of the circle area determined by the circumscribed circle occupies a rectangle? Express in perctentages(%).
- Calculate 3209
Calculate the lengths of the sides of the triangle ABC, in which angles α = 113°, β = 48°, and the radius of the circle of the triangle described is r = 10 cm.
- Circular base
Find the radius of the circular base of the vessel, whose perimeter is 2.51 m. Write the result to one decimal place in meters. Via the π sign - Ludolph's number
- Hot air balloon
The center of the balloon is at an altitude of 600 m above the ground (AGL). The observer on earth sees the center of the balloon at an elevation angle of 38°20'. The balloon is seen from the perspective of an angle of 1°16'. Calculate the diameter of the
- Dimensions 81608
Find out if a circle with a volume of 38.5 cm² fits into a rectangle with dimensions of 110 mm and 65 mm.
- Wheel gear
A drive wheel of radius two is connected to a drive wheel of radius one by a pulley of length 17. What is the distance between the wheel axles?
- Calculate 70814
The lengths of the sides AB and AD of the rectangle ABCD are in the ratio 3:4. A circle k with a diameter of 10 cm describes a rectangle. Calculate the side lengths of a given rectangle.
- Ratio of sides
Calculate the area of a circle with the same circumference as the circumference of the rectangle inscribed with a circle with a radius of r 9 cm so that its sides are in a ratio of 2 to 7.
- Inscribed rectangle
What is the perimeter of a rectangle inscribed in a circle whose diameter is 5 dm long? Answer: 14 dm
- Half-circles 81731
A skier skis down a black slope. He makes a total of 31 half-circles while going down the hill. The radius of one semicircle is 4m. What distance did he travel?
- Flowerbed
The park has a large circular flowerbed with a diameter of 12 m. Jakub circulated him ten times and the shorter Vojto seven times. How many meters each went by, and how many meters did Jakub run more than Vojta?
- The rectangle 5
The rectangle OABC has one vertex at O, the center of a circle, and a second vertex, A, 2 cm from the edge of the circle, as shown. The vertex A is also 7 cm from C. The points B and C lie on the circumference of the circle. a. What is the radius? b. Find
- Three shapes
1/5 of a circle is shaded. The area's ratio of a square and the sum of a| rectangle and the circle is 1:2. 60% of the square is shaded, and 1/3 of the rectangle is shaded. What is the ratio of the area of the circle to that of the rectangle?
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