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There are two curves given in the first quadrant as: . What are the points of intersection of both…
There are two curves given in the first quadrant as:
$x^2 + y^2 = \pi^2, y = \sin x$.
(a)
What are the points of intersection of both the given curves?
(b)
What is the value of K, if $\int_0^\pi \sqrt{\pi^2 - x^2} \, dx = \frac{\pi^3}{K}$?
(c)
Sketch the region enclosed by the given curves in the first quadrant and the y–axis.
(d)
Find the area of the region enclosed by the given curves in the first quadrant and the y–axis.
Answer
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From ISC 2025 Practice Mathematics, question 95.