Geometry

Properties of Circles

Circles Problem Solving

         

In the above diagram, d1=24d_1=24 and d2=18.d_2=18. What is the perimeter of the green colored region?

In the above image of a circle with center at O,O, ABC=115 \angle ABC = 115 ^ \circ . What is angle AOC AOC (as marked) equal to?

The length of each side in the above square is 14.14. If the two curves in the square are each one quarter of a circle with radius 14,14, calculate the area of the region bounded by the two curves in the above diagram.

Γ\Gamma is a circle with center OO. AA and BB are points on Γ\Gamma such that the sector AOBAOB has perimeter 8080. What is the maximal possible area of sector AOBAOB?

Let O1O_1 and O2O_2 be the centers of two circles with the same radius 15 cm.15\text{ cm}. What is the perimeter of the green colored region?

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