Question

Www.find the diameter of a circle if the area is 154cm2

Answer 1

Answer:

14

Step-by-step explanation:

GIVEN AREA OF CIRCLE= 154 CM^2

$means \: {\pi \times r}^{2} = {154cm}^{2}$

$= \frac{22}{7} \times {r}^{2} = 154$

SHIFTING 7 TO R.H.S

$22 \times {r}^{2} = 154 \times 7 \\ 22 \times {r}^{2} = 1078$

NOW SHIFTING 22 TO R.H.S

${r}^{2} = \frac{1078}{22} \\ {r}^{2} =49 \\ \sqrt{49} = {7}^{2}$

MEANS VALUE OF RADIUS OF CIRCLE = 7CM

NOW WE KNOW DIAMETER= 2×RADIUS

MEANS DIAMETER OF CIRCLE =7×2=14 CM

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