Question

a circle is tangent to both the axes.If the distance from the origin to the centre of the circle is r,what is the area of the circle?

Answer 1

would it be 2 pi r ? @sirm3d

Answer 2

draw d diagram 1st

Answer 3

@calculusfunctions

Answer 4

then?

Answer 5

now draw a line segment from d origin to the centre of circle

Answer 6

the center of the circle is equidistant from both axes, because the axes are tangent lines

Answer 7

but how to solve?

Answer 8

@akash123 seems to be doing a fine job with this one so I will allow him to continue. Besides, I don't appreciate how you switch to the next question without finishing the previous one @girlish

Answer 9

@girlish what do you know of the coordinates of the center of the circle, given that the axes are tangent lines?

Answer 10

So what do u need for calculating the area of a circle?

Answer 11

@calculusfunctions we have finished the previous question SIR

Answer 12

(0,0) @akash123

Answer 13

do u know the formula for area of a circle?

Answer 14

yes pi r ^2

Answer 15

good..:)

Answer 16

so u need to find the radius of the given circle for finding d area...right?

Answer 17

yes

Answer 18

do u know abt tangent to d circle?

Answer 19

a bit confused abt that

Answer 20

does it has any specific property?

Answer 21

just draw lines through the center of the circle that are perpendicular to the axes. what figure is formed?

Answer 22

AP is tangent to d circle at the point P..and draw the line segment CP...so L APC= ?

Answer 23

can u tell abt angle APC?

Answer 24

tangent=cp/ap

Answer 25

right angle

Answer 26

90 degrees

Answer 27

yes..right angle...:)

Answer 28

now we come to our question...axes are tangents to d circle...right?

Answer 29

yes

Answer 30

so now can u find d radius of the circle?

Answer 31

no

Answer 32

u have to use this..

Answer 33

can u?

Answer 34

draw the other axis and connect the center of the circle to the origin. you'll see the figure that will solve the problem