Home
Class 12
MATHS
If the area of circle increasing at a un...

If the area of circle increasing at a uniform rate, then prove that perimetre varies inversely as the radius.

Text Solution

Verified by Experts

The correct Answer is:
1
Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 4

    ARIHANT PRAKASHAN|Exercise Section - B |26 Videos

  • VERY SIMILAR TEST 4

    ARIHANT PRAKASHAN|Exercise Section - C |13 Videos

  • VERY SIMILAR TEST 2

    ARIHANT PRAKASHAN|Exercise SECTION -C |13 Videos

  • VERY SIMILAR TEST 5

    ARIHANT PRAKASHAN|Exercise SECTION C|12 Videos

Similar Questions

Explore conceptually related problems

If the radius of a circle increasing from 5 cm to 5.1 cm, then find the increase area.

The radius of a circle-is increasing uniformly at the rate of 3cm // s. Find the rate at which, the area of the circle is increasing, when the radius is 10 cm.

State whether the following statements are True (T) or False (F): The magnitude of electric field intensity at a point near a infinite plane sheet of uniform charge density varies inversely as the distance of the point of obervation form the source charge.

The radius of a circle increases at a rate of 0.2 cm/s. Calculate the rate of the increase of the area, when the radius is 5 cm.

The side of a sqart is increasing at the rate of 0.1 cm//sec and at the same time the area is increasing at the rate of 30 sq. cm//sec . Find the length of side of the square.

An Airforce plane is ascending vertically at the rate of 100 km/h. If the radius of the Earth is r km, then how fast is the area of the Earth visible from the plane increasing at 3 min after it started ascending ? Given that the visible area A at height h is given by A = 2pi r^(2) (h)/(r + h) .

The radius of a circle is increasing at the rate of 0.7 cm/s. What is the rate of increase of its circumference ?

The radius of a circle is increasing at the rate of 0.9 cm/s. What is the rate of increase of its circumference ?

The sides of an equilateral triangle are increasing at the rate of sqrt 3 cm/sec. find the rate at which the area of the triangle is increasing when the side is 4 cm long.