1. A race track is in the form of a ring whose inner circumference is 220m
and outer circumference is 264m. Find the area of the track.
Answers
This is the full explanation to your question.
Answer:
The area of the track is 1,695.5414012623 m².
Step-by-step explanation:
Inner circle's circumference = 220m
Divide it by pi ( 3.14) = 70.0636942675m ( diameter)
Divide the diameter by 2 = 35.0318471338 ( radius )
Square the radius ( radius × radius )= 1,227.2303136059m
Multiply it by pi ( 3.14) = 3,853.5031847225m²
Outer circle's circumference = 264m
Divide it by pi ( 3.14) = 84.076433121m ( diameter)
Divide the diameter by 2 = 42.0382165605 ( radius )
Square the radius ( radius × radius )= 1,767.2116515875m
Multiply it by pi ( 3.14) = 5,549.0445859848m²
Area of the outer circle= 5,549.0445859848m²
Area of the inner circle= 3,853.5031847225m²
Therefore, area of the track = 5,549.0445859848m² - 3,853.5031847225m² = 1,695.5414012623m² ( Answer)