Circular sector practice problems - page 2 of 4
Direction: Solve each problem carefully and show your solution in each item.Number of problems found: 72
- Sector  The perimeter of a circular sector with an angle 0.7 rad is 53 cm. Determine the radius of the circle from which the sector comes. The perimeter of a circular sector with an angle 0.7 rad is 53 cm. Determine the radius of the circle from which the sector comes.
- Length of the arc  What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°? What is the arc length of a circle k (S, r=68mm), which belongs to a central angle of 78°?
- Irrigation sprinkler  The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate? The irrigation sprinkler can twist at an angle of 320° and reach 12 meters. Which area can you irrigate?
- Arc  The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc? The length of the circle is 13, and the arc length of the circle is 5. What is the magnitude of the angle of this arc?
- Quadrant II  Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm. Calculate the radius of the quadrant, which area is equal to the area of the circle with radius r = 15 cm.
- Quarter circular  The wire hooked around the perimeter of the quarter-circular arc has a length of 14π+56. Determine the radius of the circle arc. The wire hooked around the perimeter of the quarter-circular arc has a length of 14π+56. Determine the radius of the circle arc.
- The central  The central angle of a sector is 30°, and the radius is 15 m. Determine its perimeter. The central angle of a sector is 30°, and the radius is 15 m. Determine its perimeter.
- MO SK/CZ  Z9–I–3  John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The circle's diameter that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball. John had the ball that rolled into the pool and swam in the water. Its highest point was 2 cm above the surface. The circle's diameter that marked the water level on the ball's surface was 8 cm. Find the diameter of John's ball.
- Circular 72244  How many kg of grass seed must be bought to start a lawn in the shape of a circular section with a radius of r= 15 m and a central angle of 45 degrees if 1 g of grass seed is used per 1 dm of the square area? How many kg of grass seed must be bought to start a lawn in the shape of a circular section with a radius of r= 15 m and a central angle of 45 degrees if 1 g of grass seed is used per 1 dm of the square area?
- 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. 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.
- 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? 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?
- Circle arc  Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places. Calculate the circular arc area in m² where the diameter is 263 dm and the central angle is 40°. Please result round to three decimal places.
- Three segments  The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C? The circle is divided into three segments. Segment A occupies 1/4 of the area. Segment B occupies 1/3 of the area. What part is occupied by section C? In what proportion are areas A: B: C?
- Circle sector  The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r. The circular sector with a central angle 160° has an area 452 cm². Calculate its radius r.
- Arc-sector  arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ? arc length = 17 cm area of sector = 55 cm² arc angle = ? the radius of the sector = ?
- Goat and circles  What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which What is the radius of a circle centered on the other circle, and is the intersection of the two circles equal to half the area of the first circle? This task is the mathematical expression of the role of agriculture. The farmer has circular land on which
- Surface of the cone  Calculate the cone's surface if its height is 8 cm and the volume is 301.44 cm³. 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. 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.
- 10 pieces  How to divide the circle into ten parts (geometrically)? How to divide the circle into ten parts (geometrically)?
- Quarter circle  What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm? What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
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