Area of a semicircle is 308 cm 2- then find its diameter-A- 14 cmB- 21 cmC- 28 cmD- 49 cm

The correct option is C 28 cmArea of semicircle = 1/2×πr^2 nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; nbsp; 3 ...

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Standard VII

Mathematics

Area of a Circle

Area of a sem...

Question

Area of a semicircle is 308 $c m^{2}$ , then find its diameter.

14 cm

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21 cm

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28 cm

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49 cm

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Solution

The correct option is C 28 cm
Area of semicircle = $\frac{1}{2}$ $\times$ $π$ $r^{2}$
308 = $\frac{1}{2}$ $\times$ $\frac{22}{7}$ $\times$ $r^{2}$
$r^{2}$ = $\frac{308 \times 2 \times 7}{22}$ = 196
r = $\sqrt{1} 96$ = 14
We know,
diameter = 2 $\times$ r = 2 $\times$ 14 = 28 cm

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Area of a semicircle is 308 cm2, then find its diameter.

The correct option is C 28 cmArea of semicircle = 12×πr2 308 = 12×227×r2 r2 = 308×2×722 = 196 r = √196 = 14 We know, diameter = 2×r = 2×14 = 28 cm

Area of a semicircle is 308 $c m^{2}$ , then find its diameter.

The correct option is C 28 cm
Area of semicircle = $\frac{1}{2}$ $\times$ $π$ $r^{2}$
308 = $\frac{1}{2}$ $\times$ $\frac{22}{7}$ $\times$ $r^{2}$
$r^{2}$ = $\frac{308 \times 2 \times 7}{22}$ = 196
r = $\sqrt{1} 96$ = 14
We know,
diameter = 2 $\times$ r = 2 $\times$ 14 = 28 cm