# Circular sector + angle - math problems

#### Number of problems found: 29

• 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.
• 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)
• Arc-sector
arc length = 17 cm area of sector = 55 cm2 arc angle = ? the radius of the sector = ?
• The central
The central angle of a sector is 30° and the radius is 15 m. Determine its perimeter.
• 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 ?.
• 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?
• Circle arc
Calculate the circular arc area in m2 where the diameter is 290 dm, and a central angle is 135°. Result round to three decimal places.
• Disc
Circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
• Circle and angle
What is the length of the arc of a circle with radius r = 207 mm with cental angle 5.33 rad?
• Length of the arc
What is the length of the arc of a circle k (S, r=68mm), which belongs to a central angle of 78°?
• Cone A2V
The surface of the cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
• 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°?
• Mice
Mice consumed a circular hole in a slice of cheese. The cheese has the shape of a circular cut with a radius of 20 cm and an angle of 90 degrees. What percentage of the cheese ate mice if they made 20 holes with a diameter of 2 cm?
• Irrigation sprinkler
The irrigation sprinkler can twist with an angle of 320° and has a reach of 12 meters. Which area can irrigate?
• 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?
Convert 270° to radians. Write result as multiple of number π.
• 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

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Circular sector Problems. Angle Problems.