Question
Find the area of the circle which is interior to the parabola .
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Text solutionVerified
The required area is represented by the shaded area .
Solving the given equation of circle, , and parabola, , we obtain the point of intersection as and .
It can be observed that the required area is symmetrical about -axis.
Solving the given equation of circle, , and parabola, , we obtain the point of intersection as and .
It can be observed that the required area is symmetrical about -axis.
Area
We draw perpendicular to .
Therefore, the coordinates of M are .
Therefore, Area Area - Area
Therefore, the required area is
sq. units
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Question Text | Find the area of the circle which is interior to the parabola . |
Answer Type | Text solution:1 |
Upvotes | 150 |