Question

the area of a circular plate is 77.5 CM square what is diameter of the plate​

Answer 1

Answer:

d = 9.92 =10(approx.)

Step-by-step explanation:

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

$77.5 = \frac{22 \times {r}^{2} }{7}$

$24.65 = {r}^{2}$

$r = 4.96 \: c m$

$diameter = 2 \times radius$

$d = 2 \times 4.96$

$d = 9.92$

d = 10 (approx.)

Answer 2

The diameter of the plate is 9.92 cm

Step-by-step explanation:

Given that,

Area of circular plate = 77.5 cm²

We need to calculate the radius of the plate

Using formula of area of plate

$A=\pi\times r^2$

Where, A = area

r = radius

Put the value into the formula

$77.5=\pi\times r^2$

$r^2=\dfrac{77.5}{\pi}$

$r=\sqrt{\dfrac{77.5}{\pi}}$

$r=4.96\ cm$

We need to calculate the diameter of the plate

Using formula of diameter

$D = 2r$

Put the value into the formula

$D=2\times4.96$

$D=9.92\ cm$

Hence, The diameter of the plate is 9.92 cm

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Topic : Diameter

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