im doing a project on the London Ferris wheel I know there are 32 carts the Diameter is 120m and the radius is 60 im needing help showing my work to find the circumference(in meters) , the Area (in Meters) , the central angle , arc length, and the area of sector please its a big part of my grade and i need help explaining
Accepted Solution
A:
Answer:circumference = 376.99marea = 11,309.73m²the central angle = 11.25°arc length = 11.78marea of sector = 353.43 m² Step-by-step explanation:Given that,radius of London Ferris = 60m1)circumference of London Ferris = 2 π r = 2π 60 = 120π = 376.99m2)Area of London Ferris = πr² = π(60)² = 3600π = 11,309.73m²3) The central angle of London FerrisCentral angles are angles formed by any two radii in a circle. Here, the angle between two carts is32 carts ---> 360°1 cart ----> 360/32 = 11.25°4)Arc length of London FerrisAn arc is a part of the circumference of a circle. Here we need to find the arc length between 2 carts360° ---> 2πr1° ----> 2πr / 36011.25° --->2πr(60)(11.25)/36011.78m5)The area of sector½ r² ∅where r is the radius and ∅ the angle in radians subtended by the arc at the centre of the circle180° = π11.25 = π(11.25)/180° (degree to radians) = π/161/2 (60)²(π/8)= 353.43 m²