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ivolga24 [154]
3 years ago
8

Find the radius of a circle having area 616cm square.​

Mathematics
1 answer:
OLEGan [10]3 years ago
4 0

Answer:

\boxed{\sf Radius \ of \ circle = 14 \ cm}

Given:

Area of circle = 616 cm²

To Find:

Radius of circle

Step-by-step explanation:

\sf \implies Area \ of \ circle = \pi r^{2}  \\  \\  \sf \implies 616 =  \frac{22}{7}  \times  {r}^{2}  \\  \\  \sf \implies 616 \times  \frac{7}{22}  =  {r}^{2}  \\  \\  \sf \implies 28 \times  \cancel{22} \times  \frac{7} { \cancel{22}}  =  {r}^{2}  \\  \\  \sf \implies 28 \times 7 =  {r}^{2}  \\  \\  \sf \implies 196 =  {r}^{2}  \\  \\  \sf \implies  {r}^{2}  = 196 \\  \\  \sf \implies r =  \sqrt{196}  \\  \\  \sf \implies r =  \sqrt{ {14}^{2} }  \\  \\  \sf \implies r = 14 \: cm

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