Question

Area of some circles are given below find their diameter (1) 176 sq.cm. (2) 394.24sq.cm.​

Answer 1

Answer:

(1)area of circle=176 sq.cm

$\pi \: r {}^{2} = 176$

$22 \div 7 \times r {}^{2} = 176$

$r {}^{2} = 176 \times 7 \div 22$

$r {}^{2} = 8 \times 7$

$r {}^{2} = 56$

$r = \sqrt{56}$

$r = 2 \sqrt{14}$

Now diameter (d)= 2r

$d = 2 \times 2 \sqrt{14}$

$d = 4 \sqrt{14}$

Hence the diameter is

$4 \sqrt{14} sq \:.cm$