Problems on sectors and circles with detailed solutions.
Problem 1: In the figure below, the length of arc AB is equal to twice the length of radius r of the circle. Find the area of sector OAB in terms of the radius r.
Solution to Problem 1:
Problem 2: The angle of a sector in a given circle is 40 degrees and the area of the sector is equal to 20 cm 2. Calculate the arc length of the sector.
Solution to Problem 2:
Problem 3: In the figure below, AB and DC are arcs of concentric circles with center O. The perimeter of figure ABCD is 22 cm. Calculate
a) angle AOB
b) The area of figure ABCD.
Solution to Problem 3:
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