MATH SOLVE

2 months ago

Q:
# Match each area to its corresponding radius or diameter of the circle.(All areas are approximate.) Tiles area: 221.5584 square units area: 78.5 square units area: 452.16 square units area: 36.2984 square units area: 314 square units area: 886.2336 square units Pairs radius: 12 units arrowBoth diameter: 16.8 units arrowBoth radius: 3.4 units arrowBoth diameter: 10 units arrowBoth

Accepted Solution

A:

we know that

Area circle=pi*r²--------------> r=√(A/pi)

case 1) 221.5584 square units area -------------> r=√(221.5584/pi)=8.398 units

Diameter=2r-----> 2*8.4=16.8 units

case 2) 78.5 square units area-------------> r=√(78.5/pi)=5 units

Diameter=2r-----> 2*5=10 units

case 3) 452.16 square units area -------------> r=√(452.16/pi)=12 units

Diameter=2r-----> 2*12=24 units

case 4) 36.2984 square units area -------------> r=√(36.2984/pi)=3.4 units

Diameter=2r-----> 2*3.4=6.8 units

case 5) 314 square units area -------------> r=√(314/pi)=10 units

Diameter=2r-----> 2*10=20 units

case 6) 886.2336 square units -------------> r=√(886.2336/pi)=16.8 units

Diameter=2r-----> 2*16.8=33.6 units

Area circle=pi*r²--------------> r=√(A/pi)

case 1) 221.5584 square units area -------------> r=√(221.5584/pi)=8.398 units

Diameter=2r-----> 2*8.4=16.8 units

case 2) 78.5 square units area-------------> r=√(78.5/pi)=5 units

Diameter=2r-----> 2*5=10 units

case 3) 452.16 square units area -------------> r=√(452.16/pi)=12 units

Diameter=2r-----> 2*12=24 units

case 4) 36.2984 square units area -------------> r=√(36.2984/pi)=3.4 units

Diameter=2r-----> 2*3.4=6.8 units

case 5) 314 square units area -------------> r=√(314/pi)=10 units

Diameter=2r-----> 2*10=20 units

case 6) 886.2336 square units -------------> r=√(886.2336/pi)=16.8 units

Diameter=2r-----> 2*16.8=33.6 units