Advertisements
Advertisements
Question
Using definite integration, area of the circle x2 + y2 = 49 is _______.
Advertisements
Solution
Using definite integration, area of the circle x2 + y2 = 49 is 49π sq.units.
Explanation:
Area of the circle x2 + y2 = r2 is πr2 sq.units.
Here, r2 = 49
∴ Required area = 49π sq.units.
RELATED QUESTIONS
Using integration find the area of the region {(x, y) : x2+y2⩽ 2ax, y2⩾ ax, x, y ⩾ 0}.
Find the area of the region bounded by the ellipse `x^2/4 + y^2/9 = 1.`
Find the area bounded by the curve x2 = 4y and the line x = 4y – 2
Find the area enclosed between the parabola y2 = 4ax and the line y = mx
Find the area of the region enclosed by the parabola x2 = y, the line y = x + 2 and x-axis
Using the method of integration find the area of the triangle ABC, coordinates of whose vertices are A(2, 0), B (4, 5) and C (6, 3).
Find the area enclosed between the parabola 4y = 3x2 and the straight line 3x - 2y + 12 = 0.
Using integration find the area of the triangle formed by negative x-axis and tangent and normal to the circle `"x"^2 + "y"^2 = 9 "at" (-1,2sqrt2)`.
Find the area of the region bounded by the following curves, the X-axis and the given lines: y = `sqrt(16 - x^2)`, x = 0, x = 4
Find the area of the region bounded by the following curves, the X-axis and the given lines:
y = x2 + 1, x = 0, x = 3
Area of the region bounded by y = x4, x = 1, x = 5 and the X-axis is _______.
The area bounded by the parabola x2 = 9y and the lines y = 4 and y = 9 in the first quadrant is ______
The area of the region bounded by the curve y2 = 4x, the X axis and the lines x = 1 and x = 4 is ______
The area of the region bounded by y2 = 25x, x = 1 and x = 2 the X axis is ______
Find area of the region bounded by the parabola x2 = 4y, the Y-axis lying in the first quadrant and the lines y = 3
If `int_0^(pi/2) log (cos x) "dx" = - pi/2 log 2,` then `int_0^(pi/2) log (cosec x)`dx = ?
The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is ______
Area bounded by the curve xy = 4, X-axis between x = 1, x = 5 is ______.
The area enclosed by the parabolas x = y2 - 1 and x = 1 - y2 is ______.
The area of the region bounded by the curve y = x IxI, X-axis and the ordinates x = 2, x = –2 is ______.
The equation of curve through the point (1, 0), if the slope of the tangent to t e curve at any point (x, y) is `(y - 1)/(x^2 + x)`, is
Find the area between the two curves (parabolas)
y2 = 7x and x2 = 7y.
Area of the region bounded by y= x4, x = 1, x = 5 and the X-axis is ______.
Area bounded by y = sec2x, x = `π/6`, x = `π/3` and x-axis is ______.
Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0,y = 2 and y = 4.
What is the area of an arbitrary elementary vertical strip of height \[y\] and width \[dx\]?
Which strips are considered for the area bounded by \[y=f(x)\], the \[x\]-axis, and the ordinates \[x=a\] and \[x=b\]?
What is the area of an elementary horizontal strip of length \[x\] and infinitesimally small width \[dy\]?
Why cannot a curve crossing the \[x\]-axis within \[a,b\] be integrated directly from \[a\] to \[b\] to obtain total area?
Which integral represents the enclosed area of the ellipse after using the positive first-quadrant value of \[y\]?
