Question

The formula to find the length of the curve y
f(x) from x = a to x=b is s =​

Answer 1

Answer:

Arc length (A) = (Θ ÷ 360) x (2 x π x r)

A = (Θ ÷ 360) x (D x π)

A = Arc length.

Θ = Arc angle (in degrees)

r = radius of circle.

A = r x Θ

A = length of arc.

r = radius of circle

Answer 2

Answer:

The formula to find the length of the curve y

f(x) from x = a to x=b

$S=\int\limits^a_b {\sqrt{1+[f'(x)]^{2} } } \, dx$

Explanation:

The arc length of the graph of y=f(x) from x=a to x=b, then it can be found by

$S=\int\limits^a_b {\sqrt{1+[f'(x)]^{2} } } \, dx$