 # Area

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• Q1

Write the formula to find area of circle.

Marks:1

If radius of the circle is denoted by ‘r’
Area of circle = r2

• Q2

State true of false : The distance around a circular region is known as area of that circle.

Marks:1

False.
The distance around a circular region is known as circumference.

• Q3

Find the area of a circle of radius 15cm.
(use =3.14)

Marks:2

Area of the circle = r2
= 3.14 15 15
= 706.5 cm2

• Q4

The area of a square and a rectangle are equal. If the side of the square is 40 cm and the breadth of the rectangle is 25 cm, find the length of the rectangle. Also, find the perimeter of the rectangle.

Marks:5

Since,

Area of rectangle = Area of square

length breadth= (side)2

length 25 = (40)2

length =1600/25

length = 64 cm

Perimeter of rectangle = 2(length + breadth)

= 2(64 + 25)

=2(89)

= 178 cm.

Anand took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle. Also, find its area. If the same wire is bent into the shape of a square, what will be the length of each of its sides? Which figure encloses more area – the circle or the square?   