Question

find the circumference and the area of circle are numerically equal then find its diameter
please step by step expkanitation​

Answer 1

Given :

Circumference of circle = Area of circle ( numerically )

To find :

Diameter ( d ) = ?

Solution :

Let the radius of the circle be " r " units .

According to the question ,,,

Circumference of circle = Area of circle

$2\pir = \pi {r}^{2} \\ \\ \frac{2\pir}{\pi} = r \times r \\ \\ \frac{2r}{r} = r \\ \\ r = 2 \: \: units$

But,,, WKT ,,,

Diameter = 2 × radius

$r = 2 \: \: units \\ \\ d = 2r \\ \\ d = 2 \times 2 \\ \\ d = 4 \: \: \: units$

Therefore ,,,, the diameter of the circle is 4 units

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