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Troyanec [42]
3 years ago
6

Match each area of a circle to its corresponding radius or diameter. area: 63.585 square meters area: 28.26 square meters area:

120.7016 square meters area: 12.56 square meters area: 482.8064 square meters area: 113.04 square meters diameter: 12.4 meters arrowBoth radius: 4.5 meters arrowBoth diameter: 6 meters arrowBoth radius: 2 meters
Mathematics
2 answers:
Tamiku [17]3 years ago
6 0

area: 28.26 square meters = diameter of 6

N76 [4]3 years ago
4 0

Answer:

A) area=63.585\ m^{2}, r=4.5\ m

B) area=28.26\ m^{2}, D=6\ m

C) area=120.7016\ m^{2}, D=12.4\ m

D) area=12.56\ m^{2}, r=2\ m

E) area=482.8064\ m^{2}, r=12.4\ m

F) area=113.04\ m^{2} , r=6\ m

Step-by-step explanation:

we know that

The area of a circle is equal to

A=\pi r^{2}

solve for r

r=\sqrt{\frac{A}{\pi}}

<u>Verify each case</u>

case A) area=63.585\ m^{2}

substitute in the formula

r=\sqrt{\frac{63.585}{\pi}}=4.5\ m

case B) area=28.26\ m^{2}

substitute in the formula

r=\sqrt{\frac{28.26}{\pi}}=3\ m

the diameter is equal to

D=2r=2*3=6\ m

case C) area=120.7016\ m^{2}

substitute in the formula

r=\sqrt{\frac{120.7016}{\pi}}=6.2\ m

the diameter is equal to

D=2r=2*6.2=12.4\ m

case D) area=12.56\ m^{2}

substitute in the formula

r=\sqrt{\frac{12.56}{\pi}}=2\ m

case E) area=482.8064\ m^{2}  

substitute in the formula

r=\sqrt{\frac{482.8064}{\pi}}=12.4\ m

case F) area=113.04\ m^{2}  

substitute in the formula

r=\sqrt{\frac{482.8064}{\pi}}=6\ m


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