# Circular sector + circle - math problems

#### Number of problems found: 44

• Circular sector I have a circular sector with a length 15 cm with an unknown central angle. It is inscribed by a circle with radius 5 cm. What is the central angle alpha in the circular sector?
• Sector 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.
• Circle sector Circular sector with a central angle 160° has area 452 cm2. Calculate its radius r.
• Arc and segment Calculate the length of circular arc l, area of the circular arc S1 and area of circular segment S2. Radius of the circle is 11 and corresponding angle is ?.
• Circle section Equilateral triangle with side 33 is inscribed circle section whose center is in one of the vertices of the triangle and the arc touches the opposite side. Calculate: a) the length of the arc b) the ratio betewwn the circumference to the circle sector and
• Arc-sector arc length = 17 cm area of sector = 55 cm2 arc angle = ? the radius of the sector = ?
• Circular segment Calculate the area S of the circular segment and the length of the circular arc l. The height of the circular segment is 2 cm and the angle α = 60°. Help formula: S = 1/2 r2. (Β-sinβ)
• Goat and circles What is the radius of a circle centered on the other circle and the intersection of the two circles is 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 g
• Circular pool The base of the pool is a circle with a radius r = 10 m, excluding a circular segment that determines the chord length 10 meters. The pool depth is h = 2m. How many hectoliters of water can fit into the pool?
• Circle arc Calculate the area of the circular arc in m2 where the diameter is 290 dm and a central angle is 135°. Result round to three decimal places.
• The central The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter.
• Circle and angle What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
• 10 pieces How to divide the circle into 10 parts (geometrically)?
• Quarter circle What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?
• Maximum of volume The shell of the cone is formed by winding a circular section with a radius of 1. For what central angle of a given circular section will the volume of the resulting cone be maximum?
• Quarter of a circle Calculate the circumference of a quarter circle if its content is S = 314 cm2.
• Arc The length of the circle is 41 amd arc length of the circle 9. What is the magnitude of the angle of this arc?
• Arc Circle arc corresponding to angle is 32° is 28 dm long. What is the length of the entire circle?
• Arc What area of a circle occupied the flowers planted in the arc of a circle with radius 4 m with central angle 45°?
• Circle arc Circle segment has a circumference of 135.26 dm and 2096.58 dm2 area. Calculate the radius of the circle and size of the central angle.

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Circular sector Problems. Circle Problems.