Question

(10) If the circumference and the area of a circle are numerically equal, then
diameter of the circle is
​

Answer 1

Area of a circle = πr²

Circumference of a square is 2πr

πr²=2πr

r=2

diameter = 2r

so diameter will be 4

Answer 2

if the area and the circumference are equal,

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

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