Points A and B are marked on the circle centered O, so that the angle AOB = 20.
| March 2, 2021 | education
Points A and B are marked on the circle centered O, so that the angle AOB = 20. The length of the smallest arc AB is 88. Find the length of the larger arc.
We find the length of the larger arc AB: 360 ° – 20 ° = 340 °.
It is known that the lengths of the arcs are proportional to the central angles on which they rest.
Let’s make the proportion, denoting the desired length of the greater arc through L:
20/88 = 340 / L;
L = (88 * 340) / 20 = 88 * 17 = 1496.
Answer: 1496.
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