Question

use π= 3.14 and find the diameter of circle whose area is 7850m^2

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Answer 1

Answer:

$Diameter \: of \: circle = 100cm$

Step-by-step explanation:

$Area \: of \: circle =7850 {m}^{2} \\ \pi {r}^{2} = 7850 \\ 3.14 \times {r}^{2} = 7850 \\ {r}^{2} = \frac{7850}{3.14} \\ {r}^{2} = \frac{7850 \times 100}{3.14 \times 100} \\ {r}^{2} = \frac{785000}{314} \\ {r}^{2} = 2500 \\ r = \sqrt{2500}\\ r = 50cm \\ d = 2r = 2 \times 50 = 100cm$

Answer 2

Answer:

• Diameter of circle is 100 m.

Step-by-step explanation:

Given :-

• Area of circle is 7850 m².

To find :-

• Diameter of circle.

Solution :-

We know,

Area of circle = πr²

Where,

• r is radius of circle.
• π is 22/7 or 3.14.

Put area in formula :

⇒7850 = πr²

⇒7850 = 3.14 × r²

⇒7850/3.14 = r²

⇒2500 = r²

⇒√2500 = r

⇒r = 50

Radius of circle is 50 m.

Diameter = Radius × 2

⇒Diameter = 50 × 2

⇒ Diameter = 100

Therefore,

Diameter of circle is 100 m.