Question

The areas of two concentric circles are 314 m2 and 706.5 m2 find the radii of both the circles, (take pie =3.14)​

Answer 1

Area of small circle = pir^2

Area=3.14×r^2=314

r^2=31400÷314

r^2=100

r=10cm

Area if larger circle =piR^2

Area=3.14×R^2=706.5

R^2=706.5÷3.14

R^2=225

R=15

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Answer 2

The radii of both the circles are 10 m and 15 m respectively.

Step-by-step explanation:

The areas of two concentric circles are $314 m^2$ and $706.5 m^2$

Area of circle=$\pi r^2$

Area of big circle = $314 m^2$

So, $\pi r^2 = 314$

$3.14 \times r^2 = 314$

$r=\sqrt{\frac{314}{3.14}}$

r= 10 m

Area of small circle = $706.5 m^2$

\pi r^2 = 706.5

3.14 \times r^2 =706.5

r=\sqrt{\frac{706.5}{3.14}}

r=15 m

Hence the radii of both the circles are 10 m and 15 m respectively.

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