Circles

9000035002

Level: 
B
A line segment of the length 40cm joins two points on a circle. The radius of the circle is 30cm. An angle has the vertex in the center of the circle and the arms on the ends of the line segment. Find the size of this angle and round the result to the nearest degrees and minutes.
8337
9710
4148
9622

9000046405

Level: 
B
A circle is circumscribed to the regular octagon. The perimeter of the octagon is 16cm. Find the radius of the circle and round the result to two decimal places. (The regular octagon is a polygon which has eight sides of equal length. The perimeter of the octagon is the sum of the length of all eight sides.) Circle circumscribed to the regular octagon.
2.61cm
1.08cm
1.41cm

1103256901

Level: 
C
The farmer tied two goats on the meadow. The distance of the stakes K1, K2 to which the goats are tied is 5m and the ropes have lengths of 3m and 4m. What is the area of the grassland which is common for both goats? Round the result to two decimal places.
6.64m2
0.57m2
0.35m2
1.52m2

1103256902

Level: 
C
The cucumber field has the shape of an isosceles right triangle. The length of its legs is 12m. Rotary sprinklers placed in its vertices have a reach of 6m. Find the area of the field that is not sprinkled with water. Round the result to two decimal places.
15.45m2
41.10m2
16.29m2
15.25m2