Internal Area
Geometry
Level
2
Consider 2 circles with radius both equal to 1 units. One of the circles pass through the centre of other. Then find the area enclosed?
2(π/3-√3/4)
45.765-π
3(π/3+√6/7)
Can't determine
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1 solution
Firstly take a white sheet of paper and draw the diagram. The as per symmetry the 2 circles pass through the others centres. Then join the line of the centre and construct a rhombus and check that the angle subtended at one centre is 120 degrees and then calculate the area of sector. Then using the formulae 1/2ab×sinC calculate the area of the respective triangle and subtract it from sector. Then you get half the area of the required region. Just multiply it by 2 to get the correct answer.
BINGO!!!