Maths-
General
Easy
Question
The diameter of a circular park is 94.4 m. A 2.8 m wide road is constructed outside this circular park, i.e., around it. Find the cost of paving this road at the rate of Rs. 50 square meter
Hint:
Try to find area of the road
The correct answer is: Rs. 42768
Since the road of width 2.8 m is on outside , it means
Diameter of inner circle = 94.4 m
Radius =
=
= 47.2 m
We know that area of a circle = p r2
Radius of outer circle = Radius of inner circle + Width of road
= 47.2 + 2.8 = 50 m
Area of the road = Area of outer circle – Area of inner circle
=
× (50)2 -
× (47.2)2
=
× ( 50 – 47.2)(50 + 47.2)
(
a2 – b2) = (a – b)(a + b)
=
2.8 × 97.2
= 855.36 m2
Now, Cost of constructing 1 m2 road = Rs. 5
Cost of constructing 855.36 m2 road = Rs. 50 855.36
= Rs. 42768
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( Take
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)
A circular plot has radius 56 m. A 7 m wide road runs on the inside of the plot around it. Find the area of road.
( Take
=
)
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)
Maths-General
Maths-
The product of two rational numbers is
. If one of the number is
. Find the other number.
The product of two rational numbers is
. If one of the number is
. Find the other number.
Maths-General
Maths-
Find the diameter of a circle whose circumference is 132 cm.
Find the diameter of a circle whose circumference is 132 cm.
Maths-General
Maths-
Find the circumference of a circle whose radius is 35 cm.
Find the circumference of a circle whose radius is 35 cm.
Maths-General
Maths-
By what rational number should we multiply
to get ![fraction numerator negative 10 over denominator 7 end fraction](data:image/png;base64,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)
By what rational number should we multiply
to get ![fraction numerator negative 10 over denominator 7 end fraction](data:image/png;base64,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)
Maths-General
Maths-
The diameter of the three circles in this figure are 21 cm, 14 cm and 7 cm. What is the area of the shaded region?
![](data:image/png;base64,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)
The diameter of the three circles in this figure are 21 cm, 14 cm and 7 cm. What is the area of the shaded region?
![](data:image/png;base64,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)
Maths-General
Maths-
Simplify ![open parentheses 6 over 55 cross times fraction numerator negative 22 over denominator 9 end fraction close parentheses minus open parentheses 26 over 125 cross times fraction numerator negative 10 over denominator 39 end fraction close parentheses](data:image/png;base64,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)
Perform multiplication and then subtract.
Simplify ![open parentheses 6 over 55 cross times fraction numerator negative 22 over denominator 9 end fraction close parentheses minus open parentheses 26 over 125 cross times fraction numerator negative 10 over denominator 39 end fraction close parentheses](data:image/png;base64,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)
Maths-General
Perform multiplication and then subtract.