Question

Area of a circle is 6 cm2. Calculate the diameter of this circle.​

Answer 1

Answer:

GIVEN,

Area =6

Using the formulas

1)

$a = \pi \: {r}^{2}$

$d \: = 2r$

Solving for d

$d = 2 \: \sqrt{ \frac{a}{\pi} } \: = 2. \sqrt{ \frac{6}{\pi} }$

$2.76395cm$

So that answer is d =2.76 cm

Answer 2

$\LARGE\star\mathfrak{\underline{\underline{\red{answer: }}}}$

$\underline{ \underline{ \sf{Gɪᴠᴇɴ : }}} \\ \sf{area \: of \: the \: circle \: = 6cm {}^{2} }$

$\underline{\underline{\sf{formula : }}} \\ \sf{area \: of \: circle \: = \pi \: r {}^{2} }$

$\underline{ \underline{\sf{to \: find : } }}\\ \sf{diameter(d) = }$

${\underline{\underline{ \sf{solution : }}}} \\ \sf{ area \: of \: circle = \pi \: r {}^{2} } \\ \sf{6cm {}^{2} = \frac{22}{7} \times r {}^{2} } \\ \sf{r {}^{2} = \frac{6 \times 7}{22} } \\ \sf{r {}^{2} = \frac{42}{22} } \\ \sf{r = \sqrt{ \frac{21}{11} } } \\ \bold{\sf{r =1.38 } }$

$\sf{diameter = 2 \times radius} \\ \sf{diameter \: = 2 \times 1.38} \\ \boxed{ \sf{diameter = 1.76}}$