Question

A circular plate has a circumference of 33.9 inches. What is the area of this​ plate? Use 3.14 for pi

Answer 1

Given

• Circumference Of Circle= 33.9 inches.

To Find

• Area of Plate.

Solution

$\bold{ \mathfrak{ \: as \: we \: know \: that}}$

$\gray{ \sf \: circumference \: of \: circle = \: 2\pi \: r}$

$\implies \sf \: 33.9 = \: 2 \times 3.14 \: r$

$\implies \sf \: r = \dfrac{33.9 }{ \: 2 \times 3.14}$

$\implies \sf \: r = \dfrac{16.95 }{ 3.14}$

$~~~~~\sf \: r =5.3980$

Now We Need To Find The Area Of Circle

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

$\implies\sf \: area \: of \: circle \: = 3.14 \times {5.3980}^{2}$

$\implies\sf \: area \: of \: circle \: = 3.14 \times 29.13$

$~~~~~~~~~\bf{\sf{Area~ of ~Circle= 91.50 ~in²}}$

Answer 2

Step-by-step explanation:

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