Question

the circumference of a circle is 6/pi cm, then the area is........................

a) 9/pi cm square
b) 16/pi cm square
c) 32/pi cm square
d) 64/pi cm square

Answer 1

Answer:

Option a) = $9\: \pi$

Step-by-step explanation:

Circumference= $\sf \: 6\pi\:cm$

We know That :

Area of Circle = $\sf\pi \: {r}^{2}$

Find The Radios Of The Circle From Circumference :

Circumference of circle = $\sf \: 2\pi \: r$

$\textbf{\underline{\underline{According\:To\:The\:Question :}}}$

$\sf \: 6\pi = 2\pi \: r$

$\sf \: r = \dfrac{6 \cancel\pi}{2 \cancel\pi}$

$\underline{\boxed{Radius\:=3\:cm}}$

$\textbf{\underline{\underline{To\:Find\:Area :}}}$

Radius = 3cm

$\implies \sf \: \pi {r}^{2}$

$\implies \: \pi \times 3 \times 3$

$\underline{\boxed{Area\:=9\: \pi \:cm^2}}$

Answer 2

Answer:

Step-by-step explanation:

Given :-

Circumference of a circle = 6π cm

To Find :-

Area of Circle :-

Formula to be used :-

Circumference of a circle = 2πr

Area of Circle = πr²

Solution :-

Circumference of circle = 2πr

⇒ 6π = 2πr

⇒ r = 6π/2π

⇒ r = 3

Area of Circle = πr²

Area of Circle = π × 3 × 3

Area of Circle = 9π cm.

Hence, the Area of Circle is 9π cm.