English

The area of the circle x2 + y2 = 16 is ______

Advertisements
Advertisements

Question

The area of the circle x2 + y2 = 16 is ______

Fill in the Blanks
Advertisements

Solution

16π sq.units 

shaalaa.com
  Is there an error in this question or solution?
Chapter 1.7: Application of Definite Integration - Q.1 (C)

APPEARS IN

RELATED QUESTIONS

Find the area of the region lying in the first quadrant and bounded by y = 4x2, x = 0, y = 1 and y = 4


Sketch the graph of y = |x + 3| and evaluate `int_(-6)^0 |x + 3|dx`


Find the area enclosed by the parabola 4y = 3x2 and the line 2y = 3x + 12


Using the method of integration, find the area of the triangle ABC, coordinates of whose vertices are A (4 , 1), B (6, 6) and C (8, 4).


Find the area of the smaller region bounded by the ellipse \[\frac{x^2}{9} + \frac{y^2}{4} = 1\] and the line \[\frac{x}{3} + \frac{y}{2} = 1 .\]


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


The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______.


Using definite integration, area of the circle x2 + y2 = 49 is _______.


Fill in the blank :

Area of the region bounded by x2 = 16y, y = 1, y = 4 and the Y-axis, lying in the first quadrant is _______.


The area of the region bounded by y2 = 4x, the X-axis and the lines x = 1 and x = 4 is _______.


Choose the correct alternative:

Area of the region bounded by the curve x2 = 8y, the positive Y-axis lying in the first quadrant and the lines y = 4 and y = 9 is ______


Choose the correct alternative:

Area of the region bounded by the parabola y2 = 25x and the lines x = 5 is ______


State whether the following statement is True or False:

The equation of the area of the circle is `x^2/"a"^2 + y^2/"b"^2` = 1


Find the area of the region bounded by the curve x = `sqrt(25 - y^2)`, the Y-axis lying in the first quadrant and the lines y = 0 and y = 5


The area bounded by y = `27/x^3`, X-axis and the ordinates x = 1, x = 3 is ______


`int_0^log5 (e^xsqrt(e^x - 1))/(e^x + 3)` dx = ______ 


Area enclosed between the curve y2(4 - x) = x3 and line x = 4 above X-axis 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 area (in sq.units) of the part of the circle x2 + y2 = 36, which is outside the parabola y2 = 9x, is ______.


Area bounded by the curves y = `"e"^(x^2)`, the x-axis and the lines x = 1, x = 2 is given to be α square units. If the area bounded by the curve y = `sqrt(ℓ "n"x)`, the x-axis and the lines x = e and x = e4 is expressed as (pe4 – qe – α), (where p and q are positive integers), then (p + q) 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.


Which strips are considered for the area bounded by \[y=f(x)\], the \[x\]-axis, and the ordinates \[x=a\] and \[x=b\]?


For an area bounded by \[x=g(y)\], the \[y\]-axis, and the horizontal lines \[y=c\] and \[y=d\], which strips are used?


What is the area of an elementary horizontal strip of length \[x\] and infinitesimally small width \[dy\]?


Which expression gives physical area when the curve \[y=f(x)\] lies below the \[x\]-axis from \[x=a\] to \[x=b\]?


Which standard form corresponds to a region bounded by the \[y\]-axis?


Why is \[y\] taken as positive for the region AOBA of the ellipse \[\frac{x^2}{a^2}+\frac{y^2}{b^2}=1\]?


Which integral represents the enclosed area of the ellipse after using the positive first-quadrant value of \[y\]?


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×