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find the radius of curvature of curve x^2+y^2=25

at point (4,3)

Question

+

find the radius of curvature of curve x^2+y^2=25

at point (4,3)

in progress
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Mathematics
4 months
2021-07-18T23:12:16+00:00
2021-07-18T23:12:16+00:00 2 Answers
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## Answers ( )

We know,

Radius of curvature for cartesian curve y = f(x) is given by

Now,

Given curve is

On differentiating both sides w. r. t. x, we get

From equation (1), we have

On differentiating both sides w. r. t. x, we get

Hence,We have

and

Consider,Now,

Consider,

Hence,So,

Radius of curvature is

Additional Information:-Radius of curvature for polar curve is given by

Radius of curvature for parametric curve is given by

Answer:

Given curve is circle with center atvirigin and point 4,3 satisfies the equation radius is 5