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प्रश्न
The area of the circle is given below; find the diameter.
394.24 sq cm
बेरीज
उत्तर
Area of the circle = 394.24 sq. cm ...[Given]
Area of the circle = πr2
∴ `394.24 = 22/7 xx r^2`
∴ `r^2 = 394.24 xx 7/22`
∴ `r^2 = (394.24 xx 100)/(1 xx 100) xx 7/22`
∴ `r^2 = 39424/100 xx 7/22`
∴ `r^2 = 1792/100 xx 7`
∴ `r^2 = 12544/100`
∴ `r^2 = 112^2/10^2`
∴ `r = 112/10` ...[Taking square root of both sides]
∴ r = 11.2 cm
∴ Diameter = 2r
= 2 × 11.2
= 22.4 cm
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