Question

find the circumference and area of a circle of diameter 3.5 cm.Take pi=22/7

Answer 1

Formula used,

$\boxed{\boxed{\large\mathbf{Area \: of \: Circle = π{r}^{2}}}}$

$\boxed{\boxed{\large\mathbf{Circumference \: of \: Circle = 2πr}}}$

Given,
Diameter = 3.5 cm
π = $\frac{22}{7}$

We know that,

$\boxed{\boxed{\large\mathbf{Radius = \frac{Diameter}{2}}}}$

Hence, Radius = $\frac{3.5}{2}$
Which can also be written as $\frac{35}{2 × 10}$ i.e. $\frac{35}{20}$

Now,

Area of Circle :

$= \pi {r}^{2} \\ \\ = \frac{22}{7} \times \frac{35}{20} \times \frac{35}{20} \\ \\ = \frac{11}{1} \times \frac{1}{2} \times \frac{7}{4} \\ \\ = \frac{77}{8} \\ \\ \bf = 9.62 {cm}^{2} \: \: (approx)$

Circumference of Circle :

$= 2\pi r \\ \\ = 2 \times \frac{22}{7} \times \frac{35}{20} \\ \\ \bf= 11 cm$

$\bf \therefore Area \: of \: the \: Circle \: with \: given \: radius \: \\ \bf is \: 9.62 {cm}^{2} \: and \: the \: Circumference \: of \\ \bf the \: Circle \: is \: 11cm.$

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Answer 2

Answer:

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