Maths-

General

Easy

Question

# 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 = )

Hint:

### Area of the road is the difference of the areas of two circles

## The correct answer is: 2310 m2

### It id given that radius of the circular plot = 56 m

Area of the outer circle = r^{2}

= × 56^{2}

= 9856 m^{2}

Radius of the inner circle

= Radius of the outer circle – Width of the road

= 56 – 7 = 49 m

Area of the inner circle = p r^{2}

= × 49^{2}

= 7546 m^{2}

Area of the road

= Area of the outer circle - Area of the inner circle

= 9856 m^{2} - 7546 m^{2}

= 2310 m^{2}

NOTE – Alterative Method

Area of the road

= Area of the outer circle - Area of the inner circle

= × 56^{2 } - × 49^{2}

= × ( 56^{2} – 49^{2})

= × (56 – 49) (56 + 49)

= × 7 × 105

= 2310 m^{2}

### Related Questions to study

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

### By what rational number should we multiply to get

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?

### 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?

Maths-General

Maths-

### Simplify

Perform multiplication and then subtract.

### Simplify

Maths-General

Perform multiplication and then subtract.

Maths-

### 𝑉𝑒𝑟𝑖𝑓𝑦

### 𝑉𝑒𝑟𝑖𝑓𝑦

Maths-General

Maths-

### Diameter of a circle is 21 cm. Calculate its circumference.

### Diameter of a circle is 21 cm. Calculate its circumference.

Maths-General

Maths-

### The circumference of the given circle is _____.

### The circumference of the given circle is _____.

Maths-General

Maths-

### Find the perimeter of a semicircle of radius 28 cm.

### Find the perimeter of a semicircle of radius 28 cm.

Maths-General

Maths-

### What is the circumference of a circular disc of radius 14 cm?

### What is the circumference of a circular disc of radius 14 cm?

Maths-General

Maths-

### The circumference of a circular piece of plot is 440 m. Find its area.

### The circumference of a circular piece of plot is 440 m. Find its area.

Maths-General

Maths-

### Find the area of a circle of radius 21 m.

### Find the area of a circle of radius 21 m.

Maths-General

Maths-

### Find the circumference and area of the circle with radius 14 cm.

### Find the circumference and area of the circle with radius 14 cm.

Maths-General

Maths-

### 𝑉𝑒𝑟𝑖𝑓𝑦

### 𝑉𝑒𝑟𝑖𝑓𝑦

Maths-General