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Find the area enclosed by the circle {x}^{{2}}+{y}^{{2}}={a}^{

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Find the area enclosed by the circle $x^{2} + y^{2} = a^{2}$ .

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Practice questions from similar books

Question 1

If the area of bounded between the x-axis and the graph of

y = 6 x - 3 x^{2}

between the ordinates

x = 1

and

x = a

19

units, then

a

can take the value (A)

4 or - 2

(B) two value are in (2,3) and one in

(- 1, 0)

(- 2, - 1)

(D) none of these

View solution

Question 2

Let

S

be the area of the region enclosed by

y = e^{- x^{2}}, y = 0, x = 0, a n d x = 1 .

Then (a)

S \geq \frac{1}{e}

(b)

S \geq 1 = \frac{1}{e}

(c)

S \leq \frac{1}{4} (1 + \frac{1}{e})

(d)

S \leq \frac{1}{2} + \frac{1}{e} (1 - \frac{1}{2})

View solution

Question 3

Prove that the curves

y^{2} = 4 x

and

x^{2} = 4 y

divide the area of square bounded by

x = 0, x = 4, y = 4

and

y = 0

into three equal parts.

View solution

Question 4

The parabolas

y^{2} = 4 x a n d x^{2} = 4 y

divide the square region bounded by the lines

x = 4, y = 4

and the coordinate axes. If

S_{1}, S_{2}, S_{3}

are the areas of these parts numbered from top to bottom, respectively, then

S_{1} : S_{2} \equiv 1 : 1

(b)

S_{2} : S_{3} \equiv 1 : 2

S_{1} : S_{3} \equiv 1 : 1

(d)

S_{1} : (S_{1} + S_{2}) = 1 : 2

View solution

Question Text

Find the area enclosed by the circle

x^{2} + y^{2} = a^{2}

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Find the area enclosed by the circle x2+y2=a2.

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Practice questions from similar books

Find the area enclosed by the circle $x^{2} + y^{2} = a^{2}$ .