# Circular sector + expression of a variable from formula - examples

1. Cone A2V
Surface of cone in the plane is a circular arc with central angle of 126° and area 415 cm2. Calculate the volume of a cone.
2. MO SK/CZ Z9–I–3
John had the ball that rolled into the pool and it swam in the water. Its highest point was 2 cm above the surface. Diameter of circle that marked the water level on the surface of the ball was 8 cm. Determine the diameter of John ball.
3. 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 33 and corresponding angle is ?.
4. Horizontal Cylindrical Segment
How much fuel is in the tank of horizontal cylindrical segment with a length 10m, width of level 1 meter and level is 0.2 meters below the upper side of the tank?
5. Arc
Calculate span of the arc, which is part of a circle with diameter d = 20 m and its height is 6 m.
6. Circle sector
Circular sector with a central angle 80 ° has area 1257 cm2. Calculate its radius r.
7. Arc-sector
arc length = 17 cm area of sector = 55 cm2 arc angle = ? the radius of the sector = ?
8. Disc
Circumference of the disk is 78.5 cm. What is the circumference of the circular arc of 32° on the disc?
9. Quarter circle
What is the radius of a circle inscribed in the quarter circle with a radius of 100 cm?

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