2000003207
Level:
A
Two isosceles obtuse-angled triangles are symmetrical about the axis \(o\). See the picture. What is the measure of the angle \(\delta\)?
\( 280^{\circ}\)
\( 160^{\circ}\)
\( 320^{\circ}\)
\( 340^{\circ}\)
Circles
Areas of Parts of Circle II
Submitted by ladislav.foltyn on Sun, 02/17/2019 - 11:33Angles Between Two Chords
Central Angles and Inscribed Angles II
Central Angles and Inscribed Angles I
Polygons
1003077112
Level:
B
The length of a circular arc with the central angle of \( 3.5 \) radians is \( 82\,\mathrm{cm} \). Calculate the radius of the corresponding circle. Round the result to two decimal places.
\( 23.43\,\mathrm{cm} \)
\( 287.00\,\mathrm{cm} \)
\( 1.59\,\mathrm{cm} \)
\( 4217.40\,\mathrm{cm} \)
1103077111
Level:
B
A piece of land in the shape of a circular sector with central angle of \( 60^{\circ} \) needs to be fenced. We have used \( 10 \) metres of wire mesh on the curved part of the fence. How many conventional metres of mesh still have to be purchased? Round the result to the nearest metre.
\( 19\,\mathrm{m} \)
\( 10\,\mathrm{m} \)
\( 15\,\mathrm{m} \)
\( 25\,\mathrm{m} \)
1103077110
Level:
B
A circular sector with the central angle of \( 60^{\circ} \) has an area of \( 201\,\mathrm{cm}^2 \). Find its radius \( r \). Round the result to one decimal place.
\( 19.6\,\mathrm{cm} \)
\( 384.1\,\mathrm{cm} \)
\( 22.5\,\mathrm{cm} \)
\( 123.7\,\mathrm{cm} \)
1103077109
Level:
C
Two quarter circles are inscribed in the square with sides of \( 2\,\mathrm{dm} \). The centres of the quarter circles are at the opposite vertices of the square (see the picture). Calculate the area of the region between the quarter circles. Round the result to two decimal places.
\( 2.28\,\mathrm{dm}^2 \)
\( 3.14\,\mathrm{dm}^2 \)
\( 21.12\,\mathrm{dm}^2 \)
\( 1.72\,\mathrm{dm}^2 \)