Circular sector practice problems
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 72
- 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 - A goat 2
As shown, a goat is tied at one corner of a rectangular shed by a 5-meter-long rope. The shed measures 3 m by 2 m and is surrounded by grassland. What is the area of the grassland in which the goat can graze? Give your answer to the nearest m². - Described 45691
How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Trajectory
Nelka holds a dumbbell in her hand at arm's length. Then she lifts it by bending her arm only at the elbow, making an angle of 135°. The exercise ends with the dumbbell lowering along the same path. What is the length of the trajectory the dumbbell follow
- Estate
Semicircle estate must be a fence. The straight section has a 32 meters long fence. How many meters of the fence should we buy? - Bridge
The bridge arc has a span of 159 m and a height of 14 m. Calculate the radius of the circle arc of this bridge. - Park
Rotating sprayer irrigation lawns will permanently surround the newly built park. Find the largest radius of the circle that can be irrigated by sprayer P, not to spray park visitors online AB. Distance AB = 55 m, AP = 36 m and BP = 28 m. - Quarter of a circle
Calculate the circumference of a quarter circle if its area is S = 314 cm². - Disc
The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
- Math heart
A stylized heart shape is created from a square with a 5 cm long side and two semicircles over its sides. Calculate the area and its circumference. - Volume of the cone
Calculate the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm². - Calculate 32321
The shell of the cone is 62.8 cm². Calculate the side length and height of this cone if the diameter of the base is 8 cm. - Circular dragon
The dragon has the shape of a circular section with a central angle of 40° and a radius of 35 cm. How much paper do we need to make if 10% is added to the curved ones? - Radians
Convert 288° to radians. Write the result as a multiple of the number π.
- Circle and angle
What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad? - Describe 5247
The large hand on the clock is 14 cm long. What path will the tip of the hand describe in 35 minutes? - Arc
What area of a circle occupied the flowers planted in the arc of a circle with a radius 3 m with a central angle of 45°? - Arc
The circle arc corresponding to the angle is 32° is 28 dm long. What is the length of the entire circle? - Calculate 8325
Calculate the area of a circular section given by an angle of 220 degrees if the circle's radius is 20cm. Round the result to cm2
The perimeter of a circular sector with an angle 1.8 rad is 64 cm. Determine the radius of the circle from which the sector comes.Do you have unsolved problem that you need help? Ask a question, and we will try to solve it. Solving math problems.
