Question

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

Answer 1

area: 28.26 square meters = diameter of 6

Answer 2

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

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

Verify each case

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

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