Have a query? Ask a Tutor!!

Access to best educators and exclusive paper discussions

Can’t find what you’re looking for?

Our tutors are from top schools around the world, and they are waiting for you 24/7, anytime, anywhere.

Homework- One to One Solutions
Understand concepts to solve better
Get your doubts solved instantly

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 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
$rightwards double arrow$ Radius = $fraction numerator text diameter end text over denominator 2 end fraction$ = $fraction numerator 94.4 over denominator 2 end fraction$ = 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
= $22 over 7$ × (50)² - $22 over 7$ × (47.2)²
= $22 over 7$ × ( 50 – 47.2)(50 + 47.2)
( $therefore$ a² – b²) = (a – b)(a + b)
= $22 over 7$ 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

Related Questions to study

The diameter of a circular park is 104 m. A road of width 3.5 m is on the outside around it. Find the cost of constructing the road at Rs. 15 per square meter.

The diameter of a circular park is 104 m. A road of width 3.5 m is on the outside around it. Find the cost of constructing the road at Rs. 15 per square meter.

A wire is in a circular shape of radius 35 cm. if it is bent in the form of square, find the area of square so formed.

A wire is in a circular shape of radius 35 cm. if it is bent in the form of square, find the area of square so formed.

The shaded portion in the given figure shows a circular path enclosed by the two concentric circles. If the inner circumference of the path is 176 m and the uniform width of the circular path is 3.5 m, find the area of the path

The shaded portion in the given figure shows a circular path enclosed by the two concentric circles. If the inner circumference of the path is 176 m and the uniform width of the circular path is 3.5 m, find the area of the path

parallel

The diameter of a wheel is 98 cm.
b. Find the distance covered by the wheel in 1000

The diameter of a wheel is 98 cm.
b. Find the distance covered by the wheel in 1000

The diameter of a wheel is 98 cm.
a. How many times will it rotate to cover 7.7 km?

The diameter of a wheel is 98 cm.
a. How many times will it rotate to cover 7.7 km?

The cost of 2 $1 half$ m of cloth is Rs.175 $3 over 4$ . Find the cost of cloth per meter.

The cost of 2 $1 half$ m of cloth is Rs.175 $3 over 4$ . Find the cost of cloth per meter.

parallel

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

A copper wire when bent in the form of a square encloses an area of 121 cm². If the same wire is bent into the form of a circle, find the area of the circle.

The area of a circle is 154 m². Find the circumference of the circle

The area of a circle is 154 m². Find the circumference of the circle

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 $straight pi$ = $22 over 7$ )

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 $straight pi$ = $22 over 7$ )

parallel

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ . Find the other number.

The product of two rational numbers is $13 over 5$ . If one of the number is $fraction numerator negative 3 over denominator 4 end fraction$ . Find the other number.

Find the diameter of a circle whose circumference is 132 cm.

Find the diameter of a circle whose circumference is 132 cm.

Find the circumference of a circle whose radius is 35 cm.

Find the circumference of a circle whose radius is 35 cm.

parallel

By what rational number should we multiply $fraction numerator negative 15 over denominator 56 end fraction$ to get $fraction numerator negative 10 over denominator 7 end fraction$

By what rational number should we multiply $fraction numerator negative 15 over denominator 56 end fraction$ to get $fraction numerator negative 10 over denominator 7 end fraction$

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?

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?

Simplify $open parentheses 6 over 55 cross times fraction numerator negative 22 over denominator 9 end fraction close parentheses minus open parentheses 26 over 125 cross times fraction numerator negative 10 over denominator 39 end fraction close parentheses$

Perform multiplication and then subtract.

Simplify $open parentheses 6 over 55 cross times fraction numerator negative 22 over denominator 9 end fraction close parentheses minus open parentheses 26 over 125 cross times fraction numerator negative 10 over denominator 39 end fraction close parentheses$

Perform multiplication and then subtract.

parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.