The rate of change of area of a circle with respect to its radius at $r = 2$ cms is

4

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 π

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 π

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

The correct option is D $4 π$
Area of the circle, $A = π r^{2}$
$\Rightarrow \frac{d A}{d r} = 2 π r$
$\Rightarrow \frac{d A}{d r}]_{r = 2} = 4 π$

Suggest Corrections

Similar questions

The rate of change of the area of a circle with respect to its radius r at r = 6 cm is

(a) $10 π$

(b) $12 π$

c) $8 π$

d) $11 π$

r = 2 c m

r

r = 6

c m

{cm}^{2} / s

r

r = 6 cm

Join BYJU'S Learning Program