in the given figure the diameter of two wheels have major 4 cm and 2 cm determine the length of the Bells a Di NBC that pass around the wheels if it is given that Bells cross cross each other at right angles
Answers
Length of Belt AD & BC are 3 cm
Step-by-step explanation:
Diameter = 4 cm & 2 cm
=> radius = 2 cm & 1 cm
=> OA = OC = 2 cm
OB = OD = 1 cm
∠OAP = ∠OCP = 90° ( Tangents)
∠APC = 90° Belts cross cross each other at right angles
=> ∠AOC = 90° ( as sum og angles of Quadrilateral = 360°)
=> OAPC is a right angle
now OA = OC
OA = CP & OC = AP ( opposites sides of rectangle are equal)
=> OA = CP = OC = AP
=> AP = CP = 2 cm
Similarly
BP =DP = 1cm
AD = AP + DP = 2 + 1 = 3 cm
BC = BP + CP = 1 + 2 = 3 cm
Length of Belt AD & BC are 3 cm
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Answer:
Length of Belt AD & BC are 3 cm
Step-by-step explanation:
Diameter = 4 cm & 2 cm
=> radius = 2 cm & 1 cm
=> OA = OC = 2 cm
OB = OD = 1 cm
∠OAP = ∠OCP = 90° ( Tangents)
∠APC = 90° Belts cross cross each other at right angles
=> ∠AOC = 90° ( as sum og angles of Quadrilateral = 360°)
=> OAPC is a right angle
now OA = OC
OA = CP & OC = AP ( opposites sides of rectangle are equal)
=> OA = CP = OC = AP
=> AP = CP = 2 cm
Similarly
BP =DP = 1cm
AD = AP + DP = 2 + 1 = 3 cm
BC = BP + CP = 1 + 2 = 3 cm
Length of Belt AD & BC are 3 cm