If area of the circle is 12-56 cm 2- then find its diameter- use -3-14 A- 1-57 cmB- 2 cmC- 3-14 cmD- 4 cm

The correct option is D 4 cmArea of circle = nbsp;πr^2 = 3.14×r^2 12.56 = nbsp;3.14×r^2 r^2 = nbsp;12.56/3.14 = 4 r = nbsp;√(4) = 2 cm diameter = 2×r = ...

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Standard VIII

Mathematics

Area of Circle

If area of th...

Question

If area of the circle is 12.56 $c m^{2}$ , then find its diameter. (use $π$ = 3.14)

1.57 cm

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2 cm

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3.14 cm

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4 cm

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Solution

The correct option is D 4 cm
Area of circle = $π$ $r^{2}$ = 3.14 $\times$ $r^{2}$
12.56 = 3.14 $\times$ $r^{2}$
$r^{2}$ = $\frac{12.56}{3.14}$ = 4
$⟹$ r = $\sqrt{4}$ = 2 cm
diameter = 2 $\times$ r = 2 $\times$ 2 = 4 cm

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If area of the circle is 12.56 cm2, then find its diameter. (use π = 3.14)

The correct option is D 4 cmArea of circle = πr2 = 3.14×r2 12.56 = 3.14×r2 r2 = 12.563.14 = 4 ⟹r = √4 = 2 cm diameter = 2×r = 2×2 = 4 cm

If area of the circle is 12.56 $c m^{2}$ , then find its diameter. (use $π$ = 3.14)

The correct option is D 4 cm
Area of circle = $π$ $r^{2}$ = 3.14 $\times$ $r^{2}$
12.56 = 3.14 $\times$ $r^{2}$
$r^{2}$ = $\frac{12.56}{3.14}$ = 4
$⟹$ r = $\sqrt{4}$ = 2 cm
diameter = 2 $\times$ r = 2 $\times$ 2 = 4 cm