Question

When the circumference and area o. A circlr arr numerically equal than the diameter is numericaly eaual to?

Answer 1

Answer:

Diameter should be 4 units.

Step-by-step explanation:

From the properties of circle : -

• Area of circle = πr^2   [ where r is the radius ]
• Circumference of circle = 2πr  [ where r is the radius ]

The given question asks for the diameter when circumference and area of a circle are numerically equal.

First of all, area and circumference can't be equal{ because of different units } , only the coefficients can be equal. Here, question states that they are numerically equal, so the only thing which we can do is to put the numeric values of area and circumference.

According to this question : -

= > Circumference of circle = Area of circle

= > 2πr = πr^2

= > 2 = ( πr^2 ) / ( πr )

= > 2 = r

= > 2 x 2 = 2 x r

= > 4 = r

Hence the diameter should be 4 units.