The diameter of a circular park is 74 m . A uniform path 3 metre wide runs around outside . Find the cost of metalling the road at rs14 per square metre.
Take π = 22/7
Answers
Answer:
Rs. 10,164
Step-by-step explanation:
Radius of inner circle = 74/2 = 37m
Area of inner circle = πr² = π37² = 1369π (1)
Radius of outer circle = 37+3 = 40m
Area of outer circle = πr² = π40² = 1600π. (2)
Subtract (1) from (2)
Area of path = 1600π - 1369π = 231π
Cost of metalling = 231π × 14 = 231×14×22/7 = 231×44 = Rs. 10,164
Answer:
A={1,2,3,4} and B={1,5,9,11,15,16}
∴A×B={(1,1),(1,5),(1,9),(1,11),(1,15),(1,16),(2,1),(2,5),(2,9),(2,11),(2,15),(2,16),
(3,1),(3,5),(3,9),(3,11),(3,15),(3,16),(4,1),(4,5),(4,9),(4,11),(4,15),(4,16)}
It is given that f={(1,5),(2,9),(3,1),(4,5),(2,11)}
(i) A relation from a non-empty set A to a non-empty set B is a subset of the Cartesian product A×B
It is observed that f is a subset of A×B
Thus f is a relation from A to B.