Circles

9000036105

Level: 
A
The side \(b\) in the triangle \(ABC\) is \(17\, \mathrm{cm}\) and the angle \(\beta \) is \(58^{\circ }\). Find the radius of the circle circumscribed to this triangle and round your answer to the nearest centimeters.
\(10\, \mathrm{cm}\)
\(8\, \mathrm{cm}\)
\(9\, \mathrm{cm}\)
\(11\, \mathrm{cm}\)

9000035002

Level: 
A
A line segment of the length \(40\, \mathrm{cm}\) joins two points on a circle. The radius of the circle is \(30\, \mathrm{cm}\). 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.
\(83^{\circ }37'\)
\(97^{\circ }10'\)
\(41^{\circ }48'\)
\(96^{\circ }22'\)