Question

If the circumference and area of the circle are numerically equal then the diameter is equal to Tu
(a)pi/2
(b)2pi
(c)2
(d)4 ​

Answer 1

Answer:

$2\pi \: r = \pi \: (r) ^{2} \\ r = 2 \\ d = 2r \\ d = 2(2) = 4$

Answer 2

Answer:

Diameter is equal to 4 units

Step-by-step explanation:

Let the diameter of the circle be "d"

Then according to the question :-

πd = πr².

But r = $\frac{d}{2}$ , so , equation would be

πd = π . $\frac{d}{2}$ . $\frac{d}{2}$

Pi , would get cancelled as it is on both sides

⇒ d = d²/4

⇒ 4d = d² ⇒ 4 = d² / d ⇒ 4 = d or d = 4 units .