# Circular sector practice problems

Direction: Solve each problem carefully and show your solution in each item.#### Number of problems found: 71

- 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. - 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 height 14 m. Calculate the radius of the circle arc of this bridge.

- Described 45691

How big is the area of the circular cutout described by the minute hand 14 cm long in 40 minutes? - Pendulum

Calculate the pendulum's length 2 cm lower in the lowest position than in the highest position. The circular arc length to be described when moving is 20cm. - Quarter of a circle

Calculate the circumference of a quarter circle if its area is S = 314 cm². - Diameter 5668

The span of the arc is 247 cm, and the height of the arc is 21.5 cm. What is the diameter of the circle? - Math heart

A stylized heart shape is created from a square with a side of 5 cm 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? - Circular 21273

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. - 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. - Surface of the cone

Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³.

- Spherical cap

The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut. - Centimeters 83442

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. - Describe 5247

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 = 207 mm with central angle 5.33 rad? - Radians

Convert 54° to radians. Write the result as a multiple of the number π.

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