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 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. 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? 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 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? 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. 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. 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. Calculate the circumference of a quarter circle if its area is S = 314 cm².
- 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. 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.
- Disc  The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc? The circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
- 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 the cone's volume if its base area is 78.5 cm² and the shell area is 219.8 cm².
- 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? 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?
- 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. 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.
- Describe  5247   The large hand on the clock is 14 cm long. What path will the tip of the hand describe in 35 minutes? The large hand on the clock is 14 cm long. What path will the tip of the hand describe in 35 minutes?
- Circle and angle  What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad? What is the length of the arc of a circle with radius r = 432 dm with central angle 0.53 rad?
- Circle arc + section  Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees. Calculate the length of the arc of a circle and the volume of a circular section if the circle's radius is 8.3 centimeters and the central angle alpha=104 degrees.
- Radians  Convert 90° to radians. Write the result as a multiple of the number π. Convert 90° to radians. Write the result as a multiple of the number π.
- 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 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
- 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°? 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 357° is 18 dm long. What is the length of the entire circle? The circle arc corresponding to the angle is 357° is 18 dm long. What is the length of the entire circle?
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