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kipiarov [429]
3 years ago
12

The radius of a circle is 14cm. Find the radius of the circle whose area is double of the area of circle. ​

Mathematics
2 answers:
zepelin [54]3 years ago
8 0

Answer:

  • 14√2 cm

Step-by-step explanation:

<u>Area of circle equation:</u>

  • A = πr²

Let the radius of bigger circle is x.

<u>We have:</u>

  • π(14²)*2 = πx²

<u>Solve for x:</u>

  • x² = 2(14²)
  • x = √2(14²)
  • x = 14√2 cm
pochemuha3 years ago
7 0

19.8cm

Step-by-step explanation:

First find area of small circle:

A = πr2

A = 22/7 x 14 x 14

A = 22 x 2 x 14

A = 616cm2

Area of bigger circle is double that of the small circle:

= 616 x 2

= 1,232 cm2

πR2 = A

22/7 x r2 = 1,232

r2 = (1,232 x 7) ÷ 22

r2 = 8624 ÷ 22

\sqrt{r ^{2} }  =  \sqrt{392}

radius of bigger circle = <u>19.8cm</u>

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