Question

find the area bounded by the circle x^2 + y^2 = 25​

Answer 1

x + y = √25

x + y = 5

The center of the circle is at (0,0) and, when x = 0, the circle points are at

y = - 5

and y = 5

So, the radius of the circle is r = 5.

The area of a circle is given by πr^2

So, substituting

r = 5

one gets the answer:

25π

Answer 2

Area bounded by the circle x² + y² = 25 is 78.5 square units.

Step-by-step explanation:

Equation of a circle given:

$x^2+y^2=25$

General equation of a circle:

$(x-h)^2+(y-k)^2=r^2$

where (h, k) is the center of the circle and r is the radius of the circle.

Write the given equation in general format, we get

$x^2+y^2=25$

$(x-0)^2+(y-0)^2=25$

$(x-0)^2+(y-0)^2=5^2$

Therefore r = 5 units

The value of π = 3.14

Area of the circle = πr²

                             = 3.14 × 5²

                             = 78.5 square units

Area bounded by the circle x² + y² = 25 is 78.5 square units.

To learn more...

1. Find the equation of the circle the end points of whose diameter are (-3,7) and (5,1) also find the length of intercept made by it on x axis​

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2. Find the equation of the circle with centre on the X axis and passing through the origin and having radius 4​

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