Question

the area of circle is 616m². find the diameter of the circle ​

Answer 1

area of circle=πr²

616=πr²

616=22/7r²

616×7/22=r²

r²=1936

r=✓1936

r=44

diameter=2(r)

=2(44)

=88m

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Answer 2

Given :-

• Area of the circle = 616m²

To Find :-

• Diameter of the Circle.

Solution :-

★ Area of Circle ★

⇛ Area of Circle = π r²

⇛ 616 = 22/7 r²

⇛ 616 × 7/22 = r²

⇛ 4312/22 = r²

⇛ 196 = r²

⇛ √196 = r

⇛ 14 = Radius

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★ Diameter of Circle ★

⇛ Diameter = 2 × Radius

⇛ Diameter = 2 × 14

⇛ Diameter = 28cm

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Verification :-

⇛ Area of Circle = π r²

⇛ 616 = 22/7 × (14)²

⇛ 616 = 22/7 × 14 × 14

⇛ 616 = 22 × 2 × 14

⇛ 616 = 616

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So, Diameter of the Circle is 28cm

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Formulas Related to Circles :-

• Circumference ( Perimeter ) = 2πr
• Area = πr²
• Diameter = 2r

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