Question

The circumference of a circle is 88 cm. Find its
area. .​

Answer 1

Step-by-step explanation:

We know Circumference of a circle = 2πr

Where r is the radius of the circle

Circumference = 2πr (the value of π is 22/7)

88 = 2 × 22/7 × r

r = 88 × 7/44

r = 14 cms

The radius of the circle is 14 cms

We know Area of the circle = πr^2

Area = πr^2

Area of circle = 22/7 × 14 × 14

Area of circle = 22 × 2 × 14

Area of circle = 44 × 14

Area of circle = 616 cm^2

Answer 2

$\underline\red{\bold{ANSWERE}}$

The Area Of Circle = 616 cm2

$\green{\boxed{{GIVEN \: THAT}}}</p><p>$

• The circumference of a circle is 88 cm.

$\underline\red{\bold{TO \: FIND }}$

• what is the area of circle ?

$\underline\red{\bold{FORMULA}}$

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

$Circumference \: \: of \: a \: Circle = 2\pi \: r$

Where ,

✓ r = radius of circle

$\underline\red{\bold{SOLUTION}}$

• Circumference of a circle =

$2\pi \: r = 88 \\ = > 2 \times \frac{22}{7} r = 88 \\ = > r = \frac{88 \times 7}{22 \times 2} \\ = > r = 14 \: cm$

Now we got radius of circle = 14 cm

Now area of CIRCLE =

$\pi {r}^{2} = \frac{22}{7} \times {(14)}^{2} = 616 \: {cm}^{2}$

$\blue{\texttt{your answer}}$

The area of circle = 616 cm2